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Finding the Fourth Proportional to 4,478.57, 6,710.38 and 3,160.15

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Solution

The fourth proportional to 4,478.57, 6,710.38 and 3,160.15 is: 4,734.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,478.57 : 6,710.38 = 3,160.15 : x
  2. Step 2: Convert to fraction form
    4,478.57/6,710.38 = 3,160.15/x
  3. Step 3: Cross multiply
    4,478.57x = 6,710.38 × 3,160.15
  4. Step 4: Simplify right side
    4,478.57x = 21,205,770.10
  5. Step 5: Solve for x
    x = 21,205,770.10/4,478.57
  6. Step 6: Final answer
    x = 4,734.94

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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.