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Finding the Fourth Proportional to 4,239.61, 6,358.15 and 1,605.16

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Solution

The fourth proportional to 4,239.61, 6,358.15 and 1,605.16 is: 2,407.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,239.61 : 6,358.15 = 1,605.16 : x
  2. Step 2: Convert to fraction form
    4,239.61/6,358.15 = 1,605.16/x
  3. Step 3: Cross multiply
    4,239.61x = 6,358.15 × 1,605.16
  4. Step 4: Simplify right side
    4,239.61x = 10,205,858.01
  5. Step 5: Solve for x
    x = 10,205,858.01/4,239.61
  6. Step 6: Final answer
    x = 2,407.26

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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.