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Finding the Fourth Proportional to 4,101, 6,132.78 and 3,061.74

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Solution

The fourth proportional to 4,101, 6,132.78 and 3,061.74 is: 4,578.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101 : 6,132.78 = 3,061.74 : x
  2. Step 2: Convert to fraction form
    4,101/6,132.78 = 3,061.74/x
  3. Step 3: Cross multiply
    4,101x = 6,132.78 × 3,061.74
  4. Step 4: Simplify right side
    4,101x = 18,776,977.84
  5. Step 5: Solve for x
    x = 18,776,977.84/4,101
  6. Step 6: Final answer
    x = 4,578.63

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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.