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Finding the Fourth Proportional to 5,672.70, 7,829.18 and 4,084.61

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Solution

The fourth proportional to 5,672.70, 7,829.18 and 4,084.61 is: 5,637.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,672.70 : 7,829.18 = 4,084.61 : x
  2. Step 2: Convert to fraction form
    5,672.70/7,829.18 = 4,084.61/x
  3. Step 3: Cross multiply
    5,672.70x = 7,829.18 × 4,084.61
  4. Step 4: Simplify right side
    5,672.70x = 31,979,146.92
  5. Step 5: Solve for x
    x = 31,979,146.92/5,672.70
  6. Step 6: Final answer
    x = 5,637.38

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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.