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Finding the Fourth Proportional to 4,331.07, 6,498 and 1,411.38

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Solution

The fourth proportional to 4,331.07, 6,498 and 1,411.38 is: 2,117.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,331.07 : 6,498 = 1,411.38 : x
  2. Step 2: Convert to fraction form
    4,331.07/6,498 = 1,411.38/x
  3. Step 3: Cross multiply
    4,331.07x = 6,498 × 1,411.38
  4. Step 4: Simplify right side
    4,331.07x = 9,171,147.24
  5. Step 5: Solve for x
    x = 9,171,147.24/4,331.07
  6. Step 6: Final answer
    x = 2,117.52

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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.