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Finding the Fourth Proportional to 5,882.42, 8,117.87 and 3,230.00

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Solution

The fourth proportional to 5,882.42, 8,117.87 and 3,230.00 is: 4,457.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.42 : 8,117.87 = 3,230.00 : x
  2. Step 2: Convert to fraction form
    5,882.42/8,117.87 = 3,230.00/x
  3. Step 3: Cross multiply
    5,882.42x = 8,117.87 × 3,230.00
  4. Step 4: Simplify right side
    5,882.42x = 26,220,734.80
  5. Step 5: Solve for x
    x = 26,220,734.80/5,882.42
  6. Step 6: Final answer
    x = 4,457.47

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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.