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Finding the Fourth Proportional to 3,229.76, 4,866.98 and 3,084.32

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Solution

The fourth proportional to 3,229.76, 4,866.98 and 3,084.32 is: 4,647.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,229.76 : 4,866.98 = 3,084.32 : x
  2. Step 2: Convert to fraction form
    3,229.76/4,866.98 = 3,084.32/x
  3. Step 3: Cross multiply
    3,229.76x = 4,866.98 × 3,084.32
  4. Step 4: Simplify right side
    3,229.76x = 15,011,323.75
  5. Step 5: Solve for x
    x = 15,011,323.75/3,229.76
  6. Step 6: Final answer
    x = 4,647.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.