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Finding the Fourth Proportional to 5,204.32, 7,805.04 and 2,083.84

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Solution

The fourth proportional to 5,204.32, 7,805.04 and 2,083.84 is: 3,125.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204.32 : 7,805.04 = 2,083.84 : x
  2. Step 2: Convert to fraction form
    5,204.32/7,805.04 = 2,083.84/x
  3. Step 3: Cross multiply
    5,204.32x = 7,805.04 × 2,083.84
  4. Step 4: Simplify right side
    5,204.32x = 16,264,454.55
  5. Step 5: Solve for x
    x = 16,264,454.55/5,204.32
  6. Step 6: Final answer
    x = 3,125.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.