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Finding the Fourth Proportional to 4,471.72, 6,668.24 and 4,160.08

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Solution

The fourth proportional to 4,471.72, 6,668.24 and 4,160.08 is: 6,203.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.72 : 6,668.24 = 4,160.08 : x
  2. Step 2: Convert to fraction form
    4,471.72/6,668.24 = 4,160.08/x
  3. Step 3: Cross multiply
    4,471.72x = 6,668.24 × 4,160.08
  4. Step 4: Simplify right side
    4,471.72x = 27,740,411.86
  5. Step 5: Solve for x
    x = 27,740,411.86/4,471.72
  6. Step 6: Final answer
    x = 6,203.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.