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Finding the Fourth Proportional to 4,948.72, 7,423.20 and 1,486

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Solution

The fourth proportional to 4,948.72, 7,423.20 and 1,486 is: 2,229.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,948.72 : 7,423.20 = 1,486 : x
  2. Step 2: Convert to fraction form
    4,948.72/7,423.20 = 1,486/x
  3. Step 3: Cross multiply
    4,948.72x = 7,423.20 × 1,486
  4. Step 4: Simplify right side
    4,948.72x = 11,030,875.20
  5. Step 5: Solve for x
    x = 11,030,875.20/4,948.72
  6. Step 6: Final answer
    x = 2,229.04

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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.