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Finding the Fourth Proportional to 5,677.89, 7,836.42 and 3,319.57

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Solution

The fourth proportional to 5,677.89, 7,836.42 and 3,319.57 is: 4,581.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.89 : 7,836.42 = 3,319.57 : x
  2. Step 2: Convert to fraction form
    5,677.89/7,836.42 = 3,319.57/x
  3. Step 3: Cross multiply
    5,677.89x = 7,836.42 × 3,319.57
  4. Step 4: Simplify right side
    5,677.89x = 26,013,544.74
  5. Step 5: Solve for x
    x = 26,013,544.74/5,677.89
  6. Step 6: Final answer
    x = 4,581.55

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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.