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Finding the Fourth Proportional to 4,141.16, 6,207.98 and 2,681

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Solution

The fourth proportional to 4,141.16, 6,207.98 and 2,681 is: 4,019.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.16 : 6,207.98 = 2,681 : x
  2. Step 2: Convert to fraction form
    4,141.16/6,207.98 = 2,681/x
  3. Step 3: Cross multiply
    4,141.16x = 6,207.98 × 2,681
  4. Step 4: Simplify right side
    4,141.16x = 16,643,594.38
  5. Step 5: Solve for x
    x = 16,643,594.38/4,141.16
  6. Step 6: Final answer
    x = 4,019.07

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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.