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Finding the Fourth Proportional to 3,874.93, 5,812.41 and 1,101.52

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Solution

The fourth proportional to 3,874.93, 5,812.41 and 1,101.52 is: 1,652.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.93 : 5,812.41 = 1,101.52 : x
  2. Step 2: Convert to fraction form
    3,874.93/5,812.41 = 1,101.52/x
  3. Step 3: Cross multiply
    3,874.93x = 5,812.41 × 1,101.52
  4. Step 4: Simplify right side
    3,874.93x = 6,402,485.86
  5. Step 5: Solve for x
    x = 6,402,485.86/3,874.93
  6. Step 6: Final answer
    x = 1,652.28

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Why These Related Problems?

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