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Finding the Fourth Proportional to 5,700.68, 7,867.02 and 3,182.93

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Solution

The fourth proportional to 5,700.68, 7,867.02 and 3,182.93 is: 4,392.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,700.68 : 7,867.02 = 3,182.93 : x
  2. Step 2: Convert to fraction form
    5,700.68/7,867.02 = 3,182.93/x
  3. Step 3: Cross multiply
    5,700.68x = 7,867.02 × 3,182.93
  4. Step 4: Simplify right side
    5,700.68x = 25,040,134.63
  5. Step 5: Solve for x
    x = 25,040,134.63/5,700.68
  6. Step 6: Final answer
    x = 4,392.49

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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.