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Finding the Fourth Proportional to 5,881.61, 8,120.43 and 3,645.87

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Solution

The fourth proportional to 5,881.61, 8,120.43 and 3,645.87 is: 5,033.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,881.61 : 8,120.43 = 3,645.87 : x
  2. Step 2: Convert to fraction form
    5,881.61/8,120.43 = 3,645.87/x
  3. Step 3: Cross multiply
    5,881.61x = 8,120.43 × 3,645.87
  4. Step 4: Simplify right side
    5,881.61x = 29,606,032.12
  5. Step 5: Solve for x
    x = 29,606,032.12/5,881.61
  6. Step 6: Final answer
    x = 5,033.66

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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.