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Finding the Fourth Proportional to 4,007.31, 6,007.53 and 1,540.41

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Solution

The fourth proportional to 4,007.31, 6,007.53 and 1,540.41 is: 2,309.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,007.31 : 6,007.53 = 1,540.41 : x
  2. Step 2: Convert to fraction form
    4,007.31/6,007.53 = 1,540.41/x
  3. Step 3: Cross multiply
    4,007.31x = 6,007.53 × 1,540.41
  4. Step 4: Simplify right side
    4,007.31x = 9,254,059.29
  5. Step 5: Solve for x
    x = 9,254,059.29/4,007.31
  6. Step 6: Final answer
    x = 2,309.29

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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.