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Finding the Fourth Proportional to 5,695.66, 7,860.14 and 3,177.98

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Solution

The fourth proportional to 5,695.66, 7,860.14 and 3,177.98 is: 4,385.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.66 : 7,860.14 = 3,177.98 : x
  2. Step 2: Convert to fraction form
    5,695.66/7,860.14 = 3,177.98/x
  3. Step 3: Cross multiply
    5,695.66x = 7,860.14 × 3,177.98
  4. Step 4: Simplify right side
    5,695.66x = 24,979,367.72
  5. Step 5: Solve for x
    x = 24,979,367.72/5,695.66
  6. Step 6: Final answer
    x = 4,385.68

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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.