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Finding the Fourth Proportional to 5,768.91, 7,961.10 and 3,116.32

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Solution

The fourth proportional to 5,768.91, 7,961.10 and 3,116.32 is: 4,300.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,768.91 : 7,961.10 = 3,116.32 : x
  2. Step 2: Convert to fraction form
    5,768.91/7,961.10 = 3,116.32/x
  3. Step 3: Cross multiply
    5,768.91x = 7,961.10 × 3,116.32
  4. Step 4: Simplify right side
    5,768.91x = 24,809,319.57
  5. Step 5: Solve for x
    x = 24,809,319.57/5,768.91
  6. Step 6: Final answer
    x = 4,300.52

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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.