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Finding the Fourth Proportional to 5,695.68, 7,859.68 and 3,178.16

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Solution

The fourth proportional to 5,695.68, 7,859.68 and 3,178.16 is: 4,385.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.68 : 7,859.68 = 3,178.16 : x
  2. Step 2: Convert to fraction form
    5,695.68/7,859.68 = 3,178.16/x
  3. Step 3: Cross multiply
    5,695.68x = 7,859.68 × 3,178.16
  4. Step 4: Simplify right side
    5,695.68x = 24,979,320.59
  5. Step 5: Solve for x
    x = 24,979,320.59/5,695.68
  6. Step 6: Final answer
    x = 4,385.66

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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.