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Finding the Fourth Proportional to 4,974.20, 7,461.30 and 4,398.20

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Solution

The fourth proportional to 4,974.20, 7,461.30 and 4,398.20 is: 6,597.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,974.20 : 7,461.30 = 4,398.20 : x
  2. Step 2: Convert to fraction form
    4,974.20/7,461.30 = 4,398.20/x
  3. Step 3: Cross multiply
    4,974.20x = 7,461.30 × 4,398.20
  4. Step 4: Simplify right side
    4,974.20x = 32,816,289.66
  5. Step 5: Solve for x
    x = 32,816,289.66/4,974.20
  6. Step 6: Final answer
    x = 6,597.30

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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.