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Finding the Fourth Proportional to 5,835.95, 8,753.92 and 2,138.47

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Solution

The fourth proportional to 5,835.95, 8,753.92 and 2,138.47 is: 3,207.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.95 : 8,753.92 = 2,138.47 : x
  2. Step 2: Convert to fraction form
    5,835.95/8,753.92 = 2,138.47/x
  3. Step 3: Cross multiply
    5,835.95x = 8,753.92 × 2,138.47
  4. Step 4: Simplify right side
    5,835.95x = 18,719,969.41
  5. Step 5: Solve for x
    x = 18,719,969.41/5,835.95
  6. Step 6: Final answer
    x = 3,207.70

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1.5x scale

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.