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Finding the Fourth Proportional to 3,565.74, 5,348.73 and 3,159.96

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Solution

The fourth proportional to 3,565.74, 5,348.73 and 3,159.96 is: 4,740.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,565.74 : 5,348.73 = 3,159.96 : x
  2. Step 2: Convert to fraction form
    3,565.74/5,348.73 = 3,159.96/x
  3. Step 3: Cross multiply
    3,565.74x = 5,348.73 × 3,159.96
  4. Step 4: Simplify right side
    3,565.74x = 16,901,772.85
  5. Step 5: Solve for x
    x = 16,901,772.85/3,565.74
  6. Step 6: Final answer
    x = 4,740.05

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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.