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Finding the Fourth Proportional to 5,869.17, 8,102.04 and 4,107.69

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Solution

The fourth proportional to 5,869.17, 8,102.04 and 4,107.69 is: 5,670.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,869.17 : 8,102.04 = 4,107.69 : x
  2. Step 2: Convert to fraction form
    5,869.17/8,102.04 = 4,107.69/x
  3. Step 3: Cross multiply
    5,869.17x = 8,102.04 × 4,107.69
  4. Step 4: Simplify right side
    5,869.17x = 33,280,668.69
  5. Step 5: Solve for x
    x = 33,280,668.69/5,869.17
  6. Step 6: Final answer
    x = 5,670.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.