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Finding the Fourth Proportional to 4,322.88, 5,966.40 and 2,752.80

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Solution

The fourth proportional to 4,322.88, 5,966.40 and 2,752.80 is: 3,799.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,322.88 : 5,966.40 = 2,752.80 : x
  2. Step 2: Convert to fraction form
    4,322.88/5,966.40 = 2,752.80/x
  3. Step 3: Cross multiply
    4,322.88x = 5,966.40 × 2,752.80
  4. Step 4: Simplify right side
    4,322.88x = 16,424,305.92
  5. Step 5: Solve for x
    x = 16,424,305.92/4,322.88
  6. Step 6: Final answer
    x = 3,799.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.