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Finding the Fourth Proportional to 4,914.24, 7,377.60 and 4,225.28

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Solution

The fourth proportional to 4,914.24, 7,377.60 and 4,225.28 is: 6,343.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.24 : 7,377.60 = 4,225.28 : x
  2. Step 2: Convert to fraction form
    4,914.24/7,377.60 = 4,225.28/x
  3. Step 3: Cross multiply
    4,914.24x = 7,377.60 × 4,225.28
  4. Step 4: Simplify right side
    4,914.24x = 31,172,425.73
  5. Step 5: Solve for x
    x = 31,172,425.73/4,914.24
  6. Step 6: Final answer
    x = 6,343.29

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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.