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Finding the Fourth Proportional to 4,253.80, 6,376.92 and 1,478.20

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Solution

The fourth proportional to 4,253.80, 6,376.92 and 1,478.20 is: 2,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.80 : 6,376.92 = 1,478.20 : x
  2. Step 2: Convert to fraction form
    4,253.80/6,376.92 = 1,478.20/x
  3. Step 3: Cross multiply
    4,253.80x = 6,376.92 × 1,478.20
  4. Step 4: Simplify right side
    4,253.80x = 9,426,363.14
  5. Step 5: Solve for x
    x = 9,426,363.14/4,253.80
  6. Step 6: Final answer
    x = 2,215.99

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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.