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Finding the Fourth Proportional to 2,937.84, 4,050.70 and 2,538.78

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Solution

The fourth proportional to 2,937.84, 4,050.70 and 2,538.78 is: 3,500.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,937.84 : 4,050.70 = 2,538.78 : x
  2. Step 2: Convert to fraction form
    2,937.84/4,050.70 = 2,538.78/x
  3. Step 3: Cross multiply
    2,937.84x = 4,050.70 × 2,538.78
  4. Step 4: Simplify right side
    2,937.84x = 10,283,836.15
  5. Step 5: Solve for x
    x = 10,283,836.15/2,937.84
  6. Step 6: Final answer
    x = 3,500.48

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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.