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Finding the Fourth Proportional to 3,854.43, 5,782.86 and 2,294.10

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Solution

The fourth proportional to 3,854.43, 5,782.86 and 2,294.10 is: 3,441.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,854.43 : 5,782.86 = 2,294.10 : x
  2. Step 2: Convert to fraction form
    3,854.43/5,782.86 = 2,294.10/x
  3. Step 3: Cross multiply
    3,854.43x = 5,782.86 × 2,294.10
  4. Step 4: Simplify right side
    3,854.43x = 13,266,459.13
  5. Step 5: Solve for x
    x = 13,266,459.13/3,854.43
  6. Step 6: Final answer
    x = 3,441.87

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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.