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Finding the Fourth Proportional to 4,989.92, 7,482.56 and 1,478.66

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Solution

The fourth proportional to 4,989.92, 7,482.56 and 1,478.66 is: 2,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,989.92 : 7,482.56 = 1,478.66 : x
  2. Step 2: Convert to fraction form
    4,989.92/7,482.56 = 1,478.66/x
  3. Step 3: Cross multiply
    4,989.92x = 7,482.56 × 1,478.66
  4. Step 4: Simplify right side
    4,989.92x = 11,064,162.17
  5. Step 5: Solve for x
    x = 11,064,162.17/4,989.92
  6. Step 6: Final answer
    x = 2,217.30

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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.