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Finding the Fourth Proportional to 4,672.40, 6,451.80 and 4,174.16

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Solution

The fourth proportional to 4,672.40, 6,451.80 and 4,174.16 is: 5,763.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,672.40 : 6,451.80 = 4,174.16 : x
  2. Step 2: Convert to fraction form
    4,672.40/6,451.80 = 4,174.16/x
  3. Step 3: Cross multiply
    4,672.40x = 6,451.80 × 4,174.16
  4. Step 4: Simplify right side
    4,672.40x = 26,930,845.49
  5. Step 5: Solve for x
    x = 26,930,845.49/4,672.40
  6. Step 6: Final answer
    x = 5,763.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.