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Finding the Fourth Proportional to 5,842.28, 8,766.88 and 2,333.94

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Solution

The fourth proportional to 5,842.28, 8,766.88 and 2,333.94 is: 3,502.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,842.28 : 8,766.88 = 2,333.94 : x
  2. Step 2: Convert to fraction form
    5,842.28/8,766.88 = 2,333.94/x
  3. Step 3: Cross multiply
    5,842.28x = 8,766.88 × 2,333.94
  4. Step 4: Simplify right side
    5,842.28x = 20,461,363.60
  5. Step 5: Solve for x
    x = 20,461,363.60/5,842.28
  6. Step 6: Final answer
    x = 3,502.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.