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Finding the Fourth Proportional to 5,686.14, 8,535.03 and 4,695.80

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Solution

The fourth proportional to 5,686.14, 8,535.03 and 4,695.80 is: 7,048.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,686.14 : 8,535.03 = 4,695.80 : x
  2. Step 2: Convert to fraction form
    5,686.14/8,535.03 = 4,695.80/x
  3. Step 3: Cross multiply
    5,686.14x = 8,535.03 × 4,695.80
  4. Step 4: Simplify right side
    5,686.14x = 40,078,793.87
  5. Step 5: Solve for x
    x = 40,078,793.87/5,686.14
  6. Step 6: Final answer
    x = 7,048.51

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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.