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Finding the Fourth Proportional to 5,641.60, 8,462.08 and 3,695.36

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Solution

The fourth proportional to 5,641.60, 8,462.08 and 3,695.36 is: 5,542.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,641.60 : 8,462.08 = 3,695.36 : x
  2. Step 2: Convert to fraction form
    5,641.60/8,462.08 = 3,695.36/x
  3. Step 3: Cross multiply
    5,641.60x = 8,462.08 × 3,695.36
  4. Step 4: Simplify right side
    5,641.60x = 31,270,431.95
  5. Step 5: Solve for x
    x = 31,270,431.95/5,641.60
  6. Step 6: Final answer
    x = 5,542.83

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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.