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Finding the Fourth Proportional to 5,581.47, 8,374.38 and 1,883.82

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Solution

The fourth proportional to 5,581.47, 8,374.38 and 1,883.82 is: 2,826.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.47 : 8,374.38 = 1,883.82 : x
  2. Step 2: Convert to fraction form
    5,581.47/8,374.38 = 1,883.82/x
  3. Step 3: Cross multiply
    5,581.47x = 8,374.38 × 1,883.82
  4. Step 4: Simplify right side
    5,581.47x = 15,775,824.53
  5. Step 5: Solve for x
    x = 15,775,824.53/5,581.47
  6. Step 6: Final answer
    x = 2,826.46

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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.