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Finding the Fourth Proportional to 5,885, 8,827.52 and 1,781

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Solution

The fourth proportional to 5,885, 8,827.52 and 1,781 is: 2,671.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,885 : 8,827.52 = 1,781 : x
  2. Step 2: Convert to fraction form
    5,885/8,827.52 = 1,781/x
  3. Step 3: Cross multiply
    5,885x = 8,827.52 × 1,781
  4. Step 4: Simplify right side
    5,885x = 15,721,813.12
  5. Step 5: Solve for x
    x = 15,721,813.12/5,885
  6. Step 6: Final answer
    x = 2,671.51

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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.