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Finding the Fourth Proportional to 5,207.52, 7,188.48 and 3,774.24

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Solution

The fourth proportional to 5,207.52, 7,188.48 and 3,774.24 is: 5,209.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,207.52 : 7,188.48 = 3,774.24 : x
  2. Step 2: Convert to fraction form
    5,207.52/7,188.48 = 3,774.24/x
  3. Step 3: Cross multiply
    5,207.52x = 7,188.48 × 3,774.24
  4. Step 4: Simplify right side
    5,207.52x = 27,131,048.76
  5. Step 5: Solve for x
    x = 27,131,048.76/5,207.52
  6. Step 6: Final answer
    x = 5,209.97

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