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Finding the Fourth Proportional to 5,832.72, 8,747.28 and 1,671.61

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Solution

The fourth proportional to 5,832.72, 8,747.28 and 1,671.61 is: 2,506.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.72 : 8,747.28 = 1,671.61 : x
  2. Step 2: Convert to fraction form
    5,832.72/8,747.28 = 1,671.61/x
  3. Step 3: Cross multiply
    5,832.72x = 8,747.28 × 1,671.61
  4. Step 4: Simplify right side
    5,832.72x = 14,621,988.63
  5. Step 5: Solve for x
    x = 14,621,988.63/5,832.72
  6. Step 6: Final answer
    x = 2,506.89

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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.