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Finding the Fourth Proportional to 3,881.49, 5,822.28 and 2,153.76

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Solution

The fourth proportional to 3,881.49, 5,822.28 and 2,153.76 is: 3,230.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881.49 : 5,822.28 = 2,153.76 : x
  2. Step 2: Convert to fraction form
    3,881.49/5,822.28 = 2,153.76/x
  3. Step 3: Cross multiply
    3,881.49x = 5,822.28 × 2,153.76
  4. Step 4: Simplify right side
    3,881.49x = 12,539,793.77
  5. Step 5: Solve for x
    x = 12,539,793.77/3,881.49
  6. Step 6: Final answer
    x = 3,230.66

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1.5x scale

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.