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Finding the Fourth Proportional to 4,066.97, 6,102.76 and 2,510.78

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Solution

The fourth proportional to 4,066.97, 6,102.76 and 2,510.78 is: 3,767.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,066.97 : 6,102.76 = 2,510.78 : x
  2. Step 2: Convert to fraction form
    4,066.97/6,102.76 = 2,510.78/x
  3. Step 3: Cross multiply
    4,066.97x = 6,102.76 × 2,510.78
  4. Step 4: Simplify right side
    4,066.97x = 15,322,666.53
  5. Step 5: Solve for x
    x = 15,322,666.53/4,066.97
  6. Step 6: Final answer
    x = 3,767.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.