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Finding the Fourth Proportional to 5,748.12, 7,932.54 and 5,395.74

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Solution

The fourth proportional to 5,748.12, 7,932.54 and 5,395.74 is: 7,446.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.12 : 7,932.54 = 5,395.74 : x
  2. Step 2: Convert to fraction form
    5,748.12/7,932.54 = 5,395.74/x
  3. Step 3: Cross multiply
    5,748.12x = 7,932.54 × 5,395.74
  4. Step 4: Simplify right side
    5,748.12x = 42,801,923.38
  5. Step 5: Solve for x
    x = 42,801,923.38/5,748.12
  6. Step 6: Final answer
    x = 7,446.25

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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.