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Finding the Fourth Proportional to 4,155.07, 5,732.30 and 2,663.86

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Solution

The fourth proportional to 4,155.07, 5,732.30 and 2,663.86 is: 3,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,155.07 : 5,732.30 = 2,663.86 : x
  2. Step 2: Convert to fraction form
    4,155.07/5,732.30 = 2,663.86/x
  3. Step 3: Cross multiply
    4,155.07x = 5,732.30 × 2,663.86
  4. Step 4: Simplify right side
    4,155.07x = 15,270,044.68
  5. Step 5: Solve for x
    x = 15,270,044.68/4,155.07
  6. Step 6: Final answer
    x = 3,675.04

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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.