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Finding the Fourth Proportional to 5,695.38, 7,859.40 and 3,337.46

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Solution

The fourth proportional to 5,695.38, 7,859.40 and 3,337.46 is: 4,605.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,695.38 : 7,859.40 = 3,337.46 : x
  2. Step 2: Convert to fraction form
    5,695.38/7,859.40 = 3,337.46/x
  3. Step 3: Cross multiply
    5,695.38x = 7,859.40 × 3,337.46
  4. Step 4: Simplify right side
    5,695.38x = 26,230,433.12
  5. Step 5: Solve for x
    x = 26,230,433.12/5,695.38
  6. Step 6: Final answer
    x = 4,605.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.