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Finding the Fourth Proportional to 3,508.40, 5,266.40 and 3,120.89

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Solution

The fourth proportional to 3,508.40, 5,266.40 and 3,120.89 is: 4,684.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,508.40 : 5,266.40 = 3,120.89 : x
  2. Step 2: Convert to fraction form
    3,508.40/5,266.40 = 3,120.89/x
  3. Step 3: Cross multiply
    3,508.40x = 5,266.40 × 3,120.89
  4. Step 4: Simplify right side
    3,508.40x = 16,435,813.16
  5. Step 5: Solve for x
    x = 16,435,813.16/3,508.40
  6. Step 6: Final answer
    x = 4,684.70

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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.