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Finding the Fourth Proportional to 5,874.74, 8,102.61 and 3,513.86

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Solution

The fourth proportional to 5,874.74, 8,102.61 and 3,513.86 is: 4,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,874.74 : 8,102.61 = 3,513.86 : x
  2. Step 2: Convert to fraction form
    5,874.74/8,102.61 = 3,513.86/x
  3. Step 3: Cross multiply
    5,874.74x = 8,102.61 × 3,513.86
  4. Step 4: Simplify right side
    5,874.74x = 28,471,437.17
  5. Step 5: Solve for x
    x = 28,471,437.17/5,874.74
  6. Step 6: Final answer
    x = 4,846.42

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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.