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Finding the Fourth Proportional to 5,776.52, 7,974.65 and 4,447.31

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Solution

The fourth proportional to 5,776.52, 7,974.65 and 4,447.31 is: 6,139.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.52 : 7,974.65 = 4,447.31 : x
  2. Step 2: Convert to fraction form
    5,776.52/7,974.65 = 4,447.31/x
  3. Step 3: Cross multiply
    5,776.52x = 7,974.65 × 4,447.31
  4. Step 4: Simplify right side
    5,776.52x = 35,465,711.94
  5. Step 5: Solve for x
    x = 35,465,711.94/5,776.52
  6. Step 6: Final answer
    x = 6,139.64

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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.