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Finding the Fourth Proportional to 4,174.80, 6,269.40 and 4,045.20

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Solution

The fourth proportional to 4,174.80, 6,269.40 and 4,045.20 is: 6,074.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.80 : 6,269.40 = 4,045.20 : x
  2. Step 2: Convert to fraction form
    4,174.80/6,269.40 = 4,045.20/x
  3. Step 3: Cross multiply
    4,174.80x = 6,269.40 × 4,045.20
  4. Step 4: Simplify right side
    4,174.80x = 25,360,976.88
  5. Step 5: Solve for x
    x = 25,360,976.88/4,174.80
  6. Step 6: Final answer
    x = 6,074.78

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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.