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Finding the Fourth Proportional to 5,882.60, 8,117.72 and 3,230.05

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Solution

The fourth proportional to 5,882.60, 8,117.72 and 3,230.05 is: 4,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.60 : 8,117.72 = 3,230.05 : x
  2. Step 2: Convert to fraction form
    5,882.60/8,117.72 = 3,230.05/x
  3. Step 3: Cross multiply
    5,882.60x = 8,117.72 × 3,230.05
  4. Step 4: Simplify right side
    5,882.60x = 26,220,600.90
  5. Step 5: Solve for x
    x = 26,220,600.90/5,882.60
  6. Step 6: Final answer
    x = 4,457.32

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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.