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Finding the Fourth Proportional to 4,966.40, 7,449.60 and 4,747.70

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Solution

The fourth proportional to 4,966.40, 7,449.60 and 4,747.70 is: 7,121.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,966.40 : 7,449.60 = 4,747.70 : x
  2. Step 2: Convert to fraction form
    4,966.40/7,449.60 = 4,747.70/x
  3. Step 3: Cross multiply
    4,966.40x = 7,449.60 × 4,747.70
  4. Step 4: Simplify right side
    4,966.40x = 35,368,465.92
  5. Step 5: Solve for x
    x = 35,368,465.92/4,966.40
  6. Step 6: Final answer
    x = 7,121.55

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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.