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Finding the Fourth Proportional to 5,305.77, 7,947.71 and 3,107.83

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Solution

The fourth proportional to 5,305.77, 7,947.71 and 3,107.83 is: 4,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.77 : 7,947.71 = 3,107.83 : x
  2. Step 2: Convert to fraction form
    5,305.77/7,947.71 = 3,107.83/x
  3. Step 3: Cross multiply
    5,305.77x = 7,947.71 × 3,107.83
  4. Step 4: Simplify right side
    5,305.77x = 24,700,131.57
  5. Step 5: Solve for x
    x = 24,700,131.57/5,305.77
  6. Step 6: Final answer
    x = 4,655.34

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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.