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Finding the Fourth Proportional to 5,889.24, 8,123.67 and 4,023

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Solution

The fourth proportional to 5,889.24, 8,123.67 and 4,023 is: 5,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.24 : 8,123.67 = 4,023 : x
  2. Step 2: Convert to fraction form
    5,889.24/8,123.67 = 4,023/x
  3. Step 3: Cross multiply
    5,889.24x = 8,123.67 × 4,023
  4. Step 4: Simplify right side
    5,889.24x = 32,681,524.41
  5. Step 5: Solve for x
    x = 32,681,524.41/5,889.24
  6. Step 6: Final answer
    x = 5,549.36

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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.