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Finding the Fourth Proportional to 3,780.72, 5,218.28 and 2,538

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Solution

The fourth proportional to 3,780.72, 5,218.28 and 2,538 is: 3,503.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780.72 : 5,218.28 = 2,538 : x
  2. Step 2: Convert to fraction form
    3,780.72/5,218.28 = 2,538/x
  3. Step 3: Cross multiply
    3,780.72x = 5,218.28 × 2,538
  4. Step 4: Simplify right side
    3,780.72x = 13,243,994.64
  5. Step 5: Solve for x
    x = 13,243,994.64/3,780.72
  6. Step 6: Final answer
    x = 3,503.04

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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.