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Finding the Fourth Proportional to 4,354.01, 6,531.02 and 1,580.68

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Solution

The fourth proportional to 4,354.01, 6,531.02 and 1,580.68 is: 2,371.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,354.01 : 6,531.02 = 1,580.68 : x
  2. Step 2: Convert to fraction form
    4,354.01/6,531.02 = 1,580.68/x
  3. Step 3: Cross multiply
    4,354.01x = 6,531.02 × 1,580.68
  4. Step 4: Simplify right side
    4,354.01x = 10,323,434.39
  5. Step 5: Solve for x
    x = 10,323,434.39/4,354.01
  6. Step 6: Final answer
    x = 2,371.02

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