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Finding the Fourth Proportional to 5,646.08, 8,470.74 and 3,695.88

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Solution

The fourth proportional to 5,646.08, 8,470.74 and 3,695.88 is: 5,544.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,646.08 : 8,470.74 = 3,695.88 : x
  2. Step 2: Convert to fraction form
    5,646.08/8,470.74 = 3,695.88/x
  3. Step 3: Cross multiply
    5,646.08x = 8,470.74 × 3,695.88
  4. Step 4: Simplify right side
    5,646.08x = 31,306,838.55
  5. Step 5: Solve for x
    x = 31,306,838.55/5,646.08
  6. Step 6: Final answer
    x = 5,544.88

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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.