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Finding the Fourth Proportional to 5,252.80, 7,866.40 and 3,947.20

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Solution

The fourth proportional to 5,252.80, 7,866.40 and 3,947.20 is: 5,911.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.80 : 7,866.40 = 3,947.20 : x
  2. Step 2: Convert to fraction form
    5,252.80/7,866.40 = 3,947.20/x
  3. Step 3: Cross multiply
    5,252.80x = 7,866.40 × 3,947.20
  4. Step 4: Simplify right side
    5,252.80x = 31,050,254.08
  5. Step 5: Solve for x
    x = 31,050,254.08/5,252.80
  6. Step 6: Final answer
    x = 5,911.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.