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Finding the Fourth Proportional to 3,860, 5,323.72 and 2,496.80

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Solution

The fourth proportional to 3,860, 5,323.72 and 2,496.80 is: 3,443.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860 : 5,323.72 = 2,496.80 : x
  2. Step 2: Convert to fraction form
    3,860/5,323.72 = 2,496.80/x
  3. Step 3: Cross multiply
    3,860x = 5,323.72 × 2,496.80
  4. Step 4: Simplify right side
    3,860x = 13,292,264.10
  5. Step 5: Solve for x
    x = 13,292,264.10/3,860
  6. Step 6: Final answer
    x = 3,443.59

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