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Finding the Fourth Proportional to 4,761.85, 6,565.61 and 4,097.55

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Solution

The fourth proportional to 4,761.85, 6,565.61 and 4,097.55 is: 5,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.85 : 6,565.61 = 4,097.55 : x
  2. Step 2: Convert to fraction form
    4,761.85/6,565.61 = 4,097.55/x
  3. Step 3: Cross multiply
    4,761.85x = 6,565.61 × 4,097.55
  4. Step 4: Simplify right side
    4,761.85x = 26,902,925.30
  5. Step 5: Solve for x
    x = 26,902,925.30/4,761.85
  6. Step 6: Final answer
    x = 5,649.68

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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.