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Finding the Fourth Proportional to 5,841.48, 8,766.66 and 4,285.44

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Solution

The fourth proportional to 5,841.48, 8,766.66 and 4,285.44 is: 6,431.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,841.48 : 8,766.66 = 4,285.44 : x
  2. Step 2: Convert to fraction form
    5,841.48/8,766.66 = 4,285.44/x
  3. Step 3: Cross multiply
    5,841.48x = 8,766.66 × 4,285.44
  4. Step 4: Simplify right side
    5,841.48x = 37,569,011.50
  5. Step 5: Solve for x
    x = 37,569,011.50/5,841.48
  6. Step 6: Final answer
    x = 6,431.42

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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.