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Finding the Fourth Proportional to 4,842.30, 7,264.80 and 2,377.20

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Solution

The fourth proportional to 4,842.30, 7,264.80 and 2,377.20 is: 3,566.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.30 : 7,264.80 = 2,377.20 : x
  2. Step 2: Convert to fraction form
    4,842.30/7,264.80 = 2,377.20/x
  3. Step 3: Cross multiply
    4,842.30x = 7,264.80 × 2,377.20
  4. Step 4: Simplify right side
    4,842.30x = 17,269,882.56
  5. Step 5: Solve for x
    x = 17,269,882.56/4,842.30
  6. Step 6: Final answer
    x = 3,566.46

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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.