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Finding the Fourth Proportional to 5,931.70, 8,185.02 and 3,278.74

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Solution

The fourth proportional to 5,931.70, 8,185.02 and 3,278.74 is: 4,524.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,931.70 : 8,185.02 = 3,278.74 : x
  2. Step 2: Convert to fraction form
    5,931.70/8,185.02 = 3,278.74/x
  3. Step 3: Cross multiply
    5,931.70x = 8,185.02 × 3,278.74
  4. Step 4: Simplify right side
    5,931.70x = 26,836,511.55
  5. Step 5: Solve for x
    x = 26,836,511.55/5,931.70
  6. Step 6: Final answer
    x = 4,524.26

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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.