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Finding the Fourth Proportional to 4,121.84, 6,175.02 and 2,039.42

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Solution

The fourth proportional to 4,121.84, 6,175.02 and 2,039.42 is: 3,055.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.84 : 6,175.02 = 2,039.42 : x
  2. Step 2: Convert to fraction form
    4,121.84/6,175.02 = 2,039.42/x
  3. Step 3: Cross multiply
    4,121.84x = 6,175.02 × 2,039.42
  4. Step 4: Simplify right side
    4,121.84x = 12,593,459.29
  5. Step 5: Solve for x
    x = 12,593,459.29/4,121.84
  6. Step 6: Final answer
    x = 3,055.30

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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.