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Finding the Fourth Proportional to 5,695.47, 7,859.81 and 3,177.56

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Solution

The fourth proportional to 5,695.47, 7,859.81 and 3,177.56 is: 4,385.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.47 : 7,859.81 = 3,177.56 : x
  2. Step 2: Convert to fraction form
    5,695.47/7,859.81 = 3,177.56/x
  3. Step 3: Cross multiply
    5,695.47x = 7,859.81 × 3,177.56
  4. Step 4: Simplify right side
    5,695.47x = 24,975,017.86
  5. Step 5: Solve for x
    x = 24,975,017.86/5,695.47
  6. Step 6: Final answer
    x = 4,385.07

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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.