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Finding the Fourth Proportional to 5,349.34, 8,023.02 and 1,452.79

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Solution

The fourth proportional to 5,349.34, 8,023.02 and 1,452.79 is: 2,178.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,349.34 : 8,023.02 = 1,452.79 : x
  2. Step 2: Convert to fraction form
    5,349.34/8,023.02 = 1,452.79/x
  3. Step 3: Cross multiply
    5,349.34x = 8,023.02 × 1,452.79
  4. Step 4: Simplify right side
    5,349.34x = 11,655,763.23
  5. Step 5: Solve for x
    x = 11,655,763.23/5,349.34
  6. Step 6: Final answer
    x = 2,178.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.