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Finding the Fourth Proportional to 5,894.52, 8,845.80 and 2,431.76

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Solution

The fourth proportional to 5,894.52, 8,845.80 and 2,431.76 is: 3,649.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.52 : 8,845.80 = 2,431.76 : x
  2. Step 2: Convert to fraction form
    5,894.52/8,845.80 = 2,431.76/x
  3. Step 3: Cross multiply
    5,894.52x = 8,845.80 × 2,431.76
  4. Step 4: Simplify right side
    5,894.52x = 21,510,862.61
  5. Step 5: Solve for x
    x = 21,510,862.61/5,894.52
  6. Step 6: Final answer
    x = 3,649.30

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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.