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Finding the Fourth Proportional to 3,472.40, 5,211.38 and 1,829.92

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Solution

The fourth proportional to 3,472.40, 5,211.38 and 1,829.92 is: 2,746.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,472.40 : 5,211.38 = 1,829.92 : x
  2. Step 2: Convert to fraction form
    3,472.40/5,211.38 = 1,829.92/x
  3. Step 3: Cross multiply
    3,472.40x = 5,211.38 × 1,829.92
  4. Step 4: Simplify right side
    3,472.40x = 9,536,408.49
  5. Step 5: Solve for x
    x = 9,536,408.49/3,472.40
  6. Step 6: Final answer
    x = 2,746.35

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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.