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Finding the Fourth Proportional to 5,700.98, 7,861.16 and 3,707.84

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Solution

The fourth proportional to 5,700.98, 7,861.16 and 3,707.84 is: 5,112.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.98 : 7,861.16 = 3,707.84 : x
  2. Step 2: Convert to fraction form
    5,700.98/7,861.16 = 3,707.84/x
  3. Step 3: Cross multiply
    5,700.98x = 7,861.16 × 3,707.84
  4. Step 4: Simplify right side
    5,700.98x = 29,147,865.65
  5. Step 5: Solve for x
    x = 29,147,865.65/5,700.98
  6. Step 6: Final answer
    x = 5,112.79

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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.