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Finding the Fourth Proportional to 5,700.92, 7,859.03 and 3,710.75

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Solution

The fourth proportional to 5,700.92, 7,859.03 and 3,710.75 is: 5,115.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.92 : 7,859.03 = 3,710.75 : x
  2. Step 2: Convert to fraction form
    5,700.92/7,859.03 = 3,710.75/x
  3. Step 3: Cross multiply
    5,700.92x = 7,859.03 × 3,710.75
  4. Step 4: Simplify right side
    5,700.92x = 29,162,837.72
  5. Step 5: Solve for x
    x = 29,162,837.72/5,700.92
  6. Step 6: Final answer
    x = 5,115.47

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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.