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Finding the Fourth Proportional to 5,988.86, 8,269.48 and 3,865.46

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Solution

The fourth proportional to 5,988.86, 8,269.48 and 3,865.46 is: 5,337.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,988.86 : 8,269.48 = 3,865.46 : x
  2. Step 2: Convert to fraction form
    5,988.86/8,269.48 = 3,865.46/x
  3. Step 3: Cross multiply
    5,988.86x = 8,269.48 × 3,865.46
  4. Step 4: Simplify right side
    5,988.86x = 31,965,344.16
  5. Step 5: Solve for x
    x = 31,965,344.16/5,988.86
  6. Step 6: Final answer
    x = 5,337.47

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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.