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Finding the Fourth Proportional to 5,582.40, 8,373.60 and 1,883.74

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Solution

The fourth proportional to 5,582.40, 8,373.60 and 1,883.74 is: 2,825.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.40 : 8,373.60 = 1,883.74 : x
  2. Step 2: Convert to fraction form
    5,582.40/8,373.60 = 1,883.74/x
  3. Step 3: Cross multiply
    5,582.40x = 8,373.60 × 1,883.74
  4. Step 4: Simplify right side
    5,582.40x = 15,773,664.33
  5. Step 5: Solve for x
    x = 15,773,664.33/5,582.40
  6. Step 6: Final answer
    x = 2,825.61

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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.