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Finding the Fourth Proportional to 5,747.48, 7,932 and 3,390.08

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Solution

The fourth proportional to 5,747.48, 7,932 and 3,390.08 is: 4,678.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.48 : 7,932 = 3,390.08 : x
  2. Step 2: Convert to fraction form
    5,747.48/7,932 = 3,390.08/x
  3. Step 3: Cross multiply
    5,747.48x = 7,932 × 3,390.08
  4. Step 4: Simplify right side
    5,747.48x = 26,890,114.56
  5. Step 5: Solve for x
    x = 26,890,114.56/5,747.48
  6. Step 6: Final answer
    x = 4,678.59

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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.