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Finding the Fourth Proportional to 5,881.44, 8,113.32 and 3,642.60

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Solution

The fourth proportional to 5,881.44, 8,113.32 and 3,642.60 is: 5,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.44 : 8,113.32 = 3,642.60 : x
  2. Step 2: Convert to fraction form
    5,881.44/8,113.32 = 3,642.60/x
  3. Step 3: Cross multiply
    5,881.44x = 8,113.32 × 3,642.60
  4. Step 4: Simplify right side
    5,881.44x = 29,553,579.43
  5. Step 5: Solve for x
    x = 29,553,579.43/5,881.44
  6. Step 6: Final answer
    x = 5,024.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.