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Finding the Fourth Proportional to 4,142, 6,244.08 and 3,867.04

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Solution

The fourth proportional to 4,142, 6,244.08 and 3,867.04 is: 5,829.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142 : 6,244.08 = 3,867.04 : x
  2. Step 2: Convert to fraction form
    4,142/6,244.08 = 3,867.04/x
  3. Step 3: Cross multiply
    4,142x = 6,244.08 × 3,867.04
  4. Step 4: Simplify right side
    4,142x = 24,146,107.12
  5. Step 5: Solve for x
    x = 24,146,107.12/4,142
  6. Step 6: Final answer
    x = 5,829.58

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.