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Finding the Fourth Proportional to 5,644.35, 8,466.93 and 1,748.61

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Solution

The fourth proportional to 5,644.35, 8,466.93 and 1,748.61 is: 2,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.35 : 8,466.93 = 1,748.61 : x
  2. Step 2: Convert to fraction form
    5,644.35/8,466.93 = 1,748.61/x
  3. Step 3: Cross multiply
    5,644.35x = 8,466.93 × 1,748.61
  4. Step 4: Simplify right side
    5,644.35x = 14,805,358.47
  5. Step 5: Solve for x
    x = 14,805,358.47/5,644.35
  6. Step 6: Final answer
    x = 2,623.04

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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.