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Finding the Fourth Proportional to 3,677.86, 5,512.74 and 2,030.86

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Solution

The fourth proportional to 3,677.86, 5,512.74 and 2,030.86 is: 3,044.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.86 : 5,512.74 = 2,030.86 : x
  2. Step 2: Convert to fraction form
    3,677.86/5,512.74 = 2,030.86/x
  3. Step 3: Cross multiply
    3,677.86x = 5,512.74 × 2,030.86
  4. Step 4: Simplify right side
    3,677.86x = 11,195,603.16
  5. Step 5: Solve for x
    x = 11,195,603.16/3,677.86
  6. Step 6: Final answer
    x = 3,044.05

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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.