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Finding the Fourth Proportional to 5,876.74, 8,810.34 and 4,023.28

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Solution

The fourth proportional to 5,876.74, 8,810.34 and 4,023.28 is: 6,031.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.74 : 8,810.34 = 4,023.28 : x
  2. Step 2: Convert to fraction form
    5,876.74/8,810.34 = 4,023.28/x
  3. Step 3: Cross multiply
    5,876.74x = 8,810.34 × 4,023.28
  4. Step 4: Simplify right side
    5,876.74x = 35,446,464.72
  5. Step 5: Solve for x
    x = 35,446,464.72/5,876.74
  6. Step 6: Final answer
    x = 6,031.65

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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.