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Finding the Fourth Proportional to 4,456.70, 6,697.17 and 2,378.18

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Solution

The fourth proportional to 4,456.70, 6,697.17 and 2,378.18 is: 3,573.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,456.70 : 6,697.17 = 2,378.18 : x
  2. Step 2: Convert to fraction form
    4,456.70/6,697.17 = 2,378.18/x
  3. Step 3: Cross multiply
    4,456.70x = 6,697.17 × 2,378.18
  4. Step 4: Simplify right side
    4,456.70x = 15,927,042.26
  5. Step 5: Solve for x
    x = 15,927,042.26/4,456.70
  6. Step 6: Final answer
    x = 3,573.73

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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.