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Finding the Fourth Proportional to 5,881.74, 8,114.73 and 3,641.28

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Solution

The fourth proportional to 5,881.74, 8,114.73 and 3,641.28 is: 5,023.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.74 : 8,114.73 = 3,641.28 : x
  2. Step 2: Convert to fraction form
    5,881.74/8,114.73 = 3,641.28/x
  3. Step 3: Cross multiply
    5,881.74x = 8,114.73 × 3,641.28
  4. Step 4: Simplify right side
    5,881.74x = 29,548,004.05
  5. Step 5: Solve for x
    x = 29,548,004.05/5,881.74
  6. Step 6: Final answer
    x = 5,023.68

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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.