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Finding the Fourth Proportional to 3,740.76, 5,160.90 and 2,249.16

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Solution

The fourth proportional to 3,740.76, 5,160.90 and 2,249.16 is: 3,103.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.76 : 5,160.90 = 2,249.16 : x
  2. Step 2: Convert to fraction form
    3,740.76/5,160.90 = 2,249.16/x
  3. Step 3: Cross multiply
    3,740.76x = 5,160.90 × 2,249.16
  4. Step 4: Simplify right side
    3,740.76x = 11,607,689.84
  5. Step 5: Solve for x
    x = 11,607,689.84/3,740.76
  6. Step 6: Final answer
    x = 3,103.03

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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.