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Finding the Fourth Proportional to 4,170.65, 6,225.54 and 3,862.31

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Solution

The fourth proportional to 4,170.65, 6,225.54 and 3,862.31 is: 5,765.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,170.65 : 6,225.54 = 3,862.31 : x
  2. Step 2: Convert to fraction form
    4,170.65/6,225.54 = 3,862.31/x
  3. Step 3: Cross multiply
    4,170.65x = 6,225.54 × 3,862.31
  4. Step 4: Simplify right side
    4,170.65x = 24,044,919.79
  5. Step 5: Solve for x
    x = 24,044,919.79/4,170.65
  6. Step 6: Final answer
    x = 5,765.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.