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Finding the Fourth Proportional to 5,748.16, 7,932.24 and 3,513.77

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Solution

The fourth proportional to 5,748.16, 7,932.24 and 3,513.77 is: 4,848.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.16 : 7,932.24 = 3,513.77 : x
  2. Step 2: Convert to fraction form
    5,748.16/7,932.24 = 3,513.77/x
  3. Step 3: Cross multiply
    5,748.16x = 7,932.24 × 3,513.77
  4. Step 4: Simplify right side
    5,748.16x = 27,872,086.78
  5. Step 5: Solve for x
    x = 27,872,086.78/5,748.16
  6. Step 6: Final answer
    x = 4,848.87

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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.