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Finding the Fourth Proportional to 4,143.74, 6,246.04 and 4,085.42

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Solution

The fourth proportional to 4,143.74, 6,246.04 and 4,085.42 is: 6,158.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,143.74 : 6,246.04 = 4,085.42 : x
  2. Step 2: Convert to fraction form
    4,143.74/6,246.04 = 4,085.42/x
  3. Step 3: Cross multiply
    4,143.74x = 6,246.04 × 4,085.42
  4. Step 4: Simplify right side
    4,143.74x = 25,517,676.31
  5. Step 5: Solve for x
    x = 25,517,676.31/4,143.74
  6. Step 6: Final answer
    x = 6,158.13

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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.