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Finding the Fourth Proportional to 5,754.60, 7,937.10 and 4,262.58

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Solution

The fourth proportional to 5,754.60, 7,937.10 and 4,262.58 is: 5,879.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.60 : 7,937.10 = 4,262.58 : x
  2. Step 2: Convert to fraction form
    5,754.60/7,937.10 = 4,262.58/x
  3. Step 3: Cross multiply
    5,754.60x = 7,937.10 × 4,262.58
  4. Step 4: Simplify right side
    5,754.60x = 33,832,523.72
  5. Step 5: Solve for x
    x = 33,832,523.72/5,754.60
  6. Step 6: Final answer
    x = 5,879.21

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1.5x scale

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.