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Finding the Fourth Proportional to 6,023.16, 9,034.56 and 5,859

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Solution

The fourth proportional to 6,023.16, 9,034.56 and 5,859 is: 8,788.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,023.16 : 9,034.56 = 5,859 : x
  2. Step 2: Convert to fraction form
    6,023.16/9,034.56 = 5,859/x
  3. Step 3: Cross multiply
    6,023.16x = 9,034.56 × 5,859
  4. Step 4: Simplify right side
    6,023.16x = 52,933,487.04
  5. Step 5: Solve for x
    x = 52,933,487.04/6,023.16
  6. Step 6: Final answer
    x = 8,788.32

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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.