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Finding the Fourth Proportional to 3,112.62, 4,671.09 and 1,356.72

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Solution

The fourth proportional to 3,112.62, 4,671.09 and 1,356.72 is: 2,036.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.62 : 4,671.09 = 1,356.72 : x
  2. Step 2: Convert to fraction form
    3,112.62/4,671.09 = 1,356.72/x
  3. Step 3: Cross multiply
    3,112.62x = 4,671.09 × 1,356.72
  4. Step 4: Simplify right side
    3,112.62x = 6,337,343.71
  5. Step 5: Solve for x
    x = 6,337,343.71/3,112.62
  6. Step 6: Final answer
    x = 2,036.02

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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.