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Finding the Fourth Proportional to 3,402.11, 5,073.22 and 3,132.83

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Solution

The fourth proportional to 3,402.11, 5,073.22 and 3,132.83 is: 4,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.11 : 5,073.22 = 3,132.83 : x
  2. Step 2: Convert to fraction form
    3,402.11/5,073.22 = 3,132.83/x
  3. Step 3: Cross multiply
    3,402.11x = 5,073.22 × 3,132.83
  4. Step 4: Simplify right side
    3,402.11x = 15,893,535.81
  5. Step 5: Solve for x
    x = 15,893,535.81/3,402.11
  6. Step 6: Final answer
    x = 4,671.67

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.