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Finding the Fourth Proportional to 5,695.64, 8,545.14 and 1,693.14

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Solution

The fourth proportional to 5,695.64, 8,545.14 and 1,693.14 is: 2,540.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.64 : 8,545.14 = 1,693.14 : x
  2. Step 2: Convert to fraction form
    5,695.64/8,545.14 = 1,693.14/x
  3. Step 3: Cross multiply
    5,695.64x = 8,545.14 × 1,693.14
  4. Step 4: Simplify right side
    5,695.64x = 14,468,118.34
  5. Step 5: Solve for x
    x = 14,468,118.34/5,695.64
  6. Step 6: Final answer
    x = 2,540.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.