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Finding the Fourth Proportional to 5,738.31, 8,589.51 and 5,253.66

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Solution

The fourth proportional to 5,738.31, 8,589.51 and 5,253.66 is: 7,864.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.31 : 8,589.51 = 5,253.66 : x
  2. Step 2: Convert to fraction form
    5,738.31/8,589.51 = 5,253.66/x
  3. Step 3: Cross multiply
    5,738.31x = 8,589.51 × 5,253.66
  4. Step 4: Simplify right side
    5,738.31x = 45,126,365.11
  5. Step 5: Solve for x
    x = 45,126,365.11/5,738.31
  6. Step 6: Final answer
    x = 7,864.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.