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Finding the Fourth Proportional to 3,909.38, 5,864.10 and 1,442.94

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Solution

The fourth proportional to 3,909.38, 5,864.10 and 1,442.94 is: 2,164.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.38 : 5,864.10 = 1,442.94 : x
  2. Step 2: Convert to fraction form
    3,909.38/5,864.10 = 1,442.94/x
  3. Step 3: Cross multiply
    3,909.38x = 5,864.10 × 1,442.94
  4. Step 4: Simplify right side
    3,909.38x = 8,461,544.45
  5. Step 5: Solve for x
    x = 8,461,544.45/3,909.38
  6. Step 6: Final answer
    x = 2,164.42

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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.