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Finding the Fourth Proportional to 3,411.51, 5,087.13 and 2,996.74

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Solution

The fourth proportional to 3,411.51, 5,087.13 and 2,996.74 is: 4,468.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.51 : 5,087.13 = 2,996.74 : x
  2. Step 2: Convert to fraction form
    3,411.51/5,087.13 = 2,996.74/x
  3. Step 3: Cross multiply
    3,411.51x = 5,087.13 × 2,996.74
  4. Step 4: Simplify right side
    3,411.51x = 15,244,805.96
  5. Step 5: Solve for x
    x = 15,244,805.96/3,411.51
  6. Step 6: Final answer
    x = 4,468.64

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.