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Finding the Fourth Proportional to 4,766.12, 7,146.56 and 1,478.30

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Solution

The fourth proportional to 4,766.12, 7,146.56 and 1,478.30 is: 2,216.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,766.12 : 7,146.56 = 1,478.30 : x
  2. Step 2: Convert to fraction form
    4,766.12/7,146.56 = 1,478.30/x
  3. Step 3: Cross multiply
    4,766.12x = 7,146.56 × 1,478.30
  4. Step 4: Simplify right side
    4,766.12x = 10,564,759.65
  5. Step 5: Solve for x
    x = 10,564,759.65/4,766.12
  6. Step 6: Final answer
    x = 2,216.64

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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.