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Finding the Fourth Proportional to 5,894.33, 8,132.15 and 3,655.40

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Solution

The fourth proportional to 5,894.33, 8,132.15 and 3,655.40 is: 5,043.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.33 : 8,132.15 = 3,655.40 : x
  2. Step 2: Convert to fraction form
    5,894.33/8,132.15 = 3,655.40/x
  3. Step 3: Cross multiply
    5,894.33x = 8,132.15 × 3,655.40
  4. Step 4: Simplify right side
    5,894.33x = 29,726,202.17
  5. Step 5: Solve for x
    x = 29,726,202.17/5,894.33
  6. Step 6: Final answer
    x = 5,043.19

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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.