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Finding the Fourth Proportional to 5,310.30, 7,960.05 and 3,117.90

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Solution

The fourth proportional to 5,310.30, 7,960.05 and 3,117.90 is: 4,673.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,310.30 : 7,960.05 = 3,117.90 : x
  2. Step 2: Convert to fraction form
    5,310.30/7,960.05 = 3,117.90/x
  3. Step 3: Cross multiply
    5,310.30x = 7,960.05 × 3,117.90
  4. Step 4: Simplify right side
    5,310.30x = 24,818,639.90
  5. Step 5: Solve for x
    x = 24,818,639.90/5,310.30
  6. Step 6: Final answer
    x = 4,673.68

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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.