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Finding the Fourth Proportional to 4,414.96, 6,087 and 3,918.16

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Solution

The fourth proportional to 4,414.96, 6,087 and 3,918.16 is: 5,402.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,414.96 : 6,087 = 3,918.16 : x
  2. Step 2: Convert to fraction form
    4,414.96/6,087 = 3,918.16/x
  3. Step 3: Cross multiply
    4,414.96x = 6,087 × 3,918.16
  4. Step 4: Simplify right side
    4,414.96x = 23,849,839.92
  5. Step 5: Solve for x
    x = 23,849,839.92/4,414.96
  6. Step 6: Final answer
    x = 5,402.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.