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Finding the Fourth Proportional to 5,767.80, 7,959.24 and 3,410.16

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Solution

The fourth proportional to 5,767.80, 7,959.24 and 3,410.16 is: 4,705.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,767.80 : 7,959.24 = 3,410.16 : x
  2. Step 2: Convert to fraction form
    5,767.80/7,959.24 = 3,410.16/x
  3. Step 3: Cross multiply
    5,767.80x = 7,959.24 × 3,410.16
  4. Step 4: Simplify right side
    5,767.80x = 27,142,281.88
  5. Step 5: Solve for x
    x = 27,142,281.88/5,767.80
  6. Step 6: Final answer
    x = 4,705.83

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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.