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Finding the Fourth Proportional to 4,417.81, 6,618.38 and 4,160.43

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Solution

The fourth proportional to 4,417.81, 6,618.38 and 4,160.43 is: 6,232.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,417.81 : 6,618.38 = 4,160.43 : x
  2. Step 2: Convert to fraction form
    4,417.81/6,618.38 = 4,160.43/x
  3. Step 3: Cross multiply
    4,417.81x = 6,618.38 × 4,160.43
  4. Step 4: Simplify right side
    4,417.81x = 27,535,285.90
  5. Step 5: Solve for x
    x = 27,535,285.90/4,417.81
  6. Step 6: Final answer
    x = 6,232.79

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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.