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Finding the Fourth Proportional to 5,800.20, 8,002.44 and 3,282

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Solution

The fourth proportional to 5,800.20, 8,002.44 and 3,282 is: 4,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,800.20 : 8,002.44 = 3,282 : x
  2. Step 2: Convert to fraction form
    5,800.20/8,002.44 = 3,282/x
  3. Step 3: Cross multiply
    5,800.20x = 8,002.44 × 3,282
  4. Step 4: Simplify right side
    5,800.20x = 26,264,008.08
  5. Step 5: Solve for x
    x = 26,264,008.08/5,800.20
  6. Step 6: Final answer
    x = 4,528.12

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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.