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Finding the Fourth Proportional to 3,726, 5,142.96 and 2,484

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Solution

The fourth proportional to 3,726, 5,142.96 and 2,484 is: 3,428.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,726 : 5,142.96 = 2,484 : x
  2. Step 2: Convert to fraction form
    3,726/5,142.96 = 2,484/x
  3. Step 3: Cross multiply
    3,726x = 5,142.96 × 2,484
  4. Step 4: Simplify right side
    3,726x = 12,775,112.64
  5. Step 5: Solve for x
    x = 12,775,112.64/3,726
  6. Step 6: Final answer
    x = 3,428.64

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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.