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Finding the Fourth Proportional to 3,781.44, 5,671.80 and 1,184.40

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Solution

The fourth proportional to 3,781.44, 5,671.80 and 1,184.40 is: 1,776.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.44 : 5,671.80 = 1,184.40 : x
  2. Step 2: Convert to fraction form
    3,781.44/5,671.80 = 1,184.40/x
  3. Step 3: Cross multiply
    3,781.44x = 5,671.80 × 1,184.40
  4. Step 4: Simplify right side
    3,781.44x = 6,717,679.92
  5. Step 5: Solve for x
    x = 6,717,679.92/3,781.44
  6. Step 6: Final answer
    x = 1,776.49

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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.