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Finding the Fourth Proportional to 5,582.71, 8,368.39 and 2,464.41

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Solution

The fourth proportional to 5,582.71, 8,368.39 and 2,464.41 is: 3,694.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,582.71 : 8,368.39 = 2,464.41 : x
  2. Step 2: Convert to fraction form
    5,582.71/8,368.39 = 2,464.41/x
  3. Step 3: Cross multiply
    5,582.71x = 8,368.39 × 2,464.41
  4. Step 4: Simplify right side
    5,582.71x = 20,623,144.00
  5. Step 5: Solve for x
    x = 20,623,144.00/5,582.71
  6. Step 6: Final answer
    x = 3,694.11

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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.