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Finding the Fourth Proportional to 3,874.47, 5,347.02 and 2,362.59

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Solution

The fourth proportional to 3,874.47, 5,347.02 and 2,362.59 is: 3,260.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.47 : 5,347.02 = 2,362.59 : x
  2. Step 2: Convert to fraction form
    3,874.47/5,347.02 = 2,362.59/x
  3. Step 3: Cross multiply
    3,874.47x = 5,347.02 × 2,362.59
  4. Step 4: Simplify right side
    3,874.47x = 12,632,815.98
  5. Step 5: Solve for x
    x = 12,632,815.98/3,874.47
  6. Step 6: Final answer
    x = 3,260.53

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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.