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Finding the Fourth Proportional to 5,671.52, 7,823.52 and 3,548.48

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Solution

The fourth proportional to 5,671.52, 7,823.52 and 3,548.48 is: 4,894.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,671.52 : 7,823.52 = 3,548.48 : x
  2. Step 2: Convert to fraction form
    5,671.52/7,823.52 = 3,548.48/x
  3. Step 3: Cross multiply
    5,671.52x = 7,823.52 × 3,548.48
  4. Step 4: Simplify right side
    5,671.52x = 27,761,604.25
  5. Step 5: Solve for x
    x = 27,761,604.25/5,671.52
  6. Step 6: Final answer
    x = 4,894.91

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Why These Related Problems?

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