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Finding the Fourth Proportional to 4,132.88, 5,696.52 and 4,023.44

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Solution

The fourth proportional to 4,132.88, 5,696.52 and 4,023.44 is: 5,545.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132.88 : 5,696.52 = 4,023.44 : x
  2. Step 2: Convert to fraction form
    4,132.88/5,696.52 = 4,023.44/x
  3. Step 3: Cross multiply
    4,132.88x = 5,696.52 × 4,023.44
  4. Step 4: Simplify right side
    4,132.88x = 22,919,606.43
  5. Step 5: Solve for x
    x = 22,919,606.43/4,132.88
  6. Step 6: Final answer
    x = 5,545.67

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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.