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Finding the Fourth Proportional to 5,862.15, 8,091.27 and 4,069.74

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Solution

The fourth proportional to 5,862.15, 8,091.27 and 4,069.74 is: 5,617.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.15 : 8,091.27 = 4,069.74 : x
  2. Step 2: Convert to fraction form
    5,862.15/8,091.27 = 4,069.74/x
  3. Step 3: Cross multiply
    5,862.15x = 8,091.27 × 4,069.74
  4. Step 4: Simplify right side
    5,862.15x = 32,929,365.17
  5. Step 5: Solve for x
    x = 32,929,365.17/5,862.15
  6. Step 6: Final answer
    x = 5,617.28

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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.