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Finding the Fourth Proportional to 5,748.01, 7,932.33 and 3,390.14

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Solution

The fourth proportional to 5,748.01, 7,932.33 and 3,390.14 is: 4,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.01 : 7,932.33 = 3,390.14 : x
  2. Step 2: Convert to fraction form
    5,748.01/7,932.33 = 3,390.14/x
  3. Step 3: Cross multiply
    5,748.01x = 7,932.33 × 3,390.14
  4. Step 4: Simplify right side
    5,748.01x = 26,891,729.06
  5. Step 5: Solve for x
    x = 26,891,729.06/5,748.01
  6. Step 6: Final answer
    x = 4,678.44

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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.