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Finding the Fourth Proportional to 5,748.49, 7,932.69 and 3,514.10

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Solution

The fourth proportional to 5,748.49, 7,932.69 and 3,514.10 is: 4,849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.49 : 7,932.69 = 3,514.10 : x
  2. Step 2: Convert to fraction form
    5,748.49/7,932.69 = 3,514.10/x
  3. Step 3: Cross multiply
    5,748.49x = 7,932.69 × 3,514.10
  4. Step 4: Simplify right side
    5,748.49x = 27,876,248.36
  5. Step 5: Solve for x
    x = 27,876,248.36/5,748.49
  6. Step 6: Final answer
    x = 4,849.32

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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.