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Finding the Fourth Proportional to 5,798,464.40, 8,697,696.60 and 3,782,925.20

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Solution

The fourth proportional to 5,798,464.40, 8,697,696.60 and 3,782,925.20 is: 5,674,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,798,464.40 : 8,697,696.60 = 3,782,925.20 : x
  2. Step 2: Convert to fraction form
    5,798,464.40/8,697,696.60 = 3,782,925.20/x
  3. Step 3: Cross multiply
    5,798,464.40x = 8,697,696.60 × 3,782,925.20
  4. Step 4: Simplify right side
    5,798,464.40x = 32,902,735,650,094.32
  5. Step 5: Solve for x
    x = 32,902,735,650,094.32/5,798,464.40
  6. Step 6: Final answer
    x = 5,674,387.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.