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Finding the Fourth Proportional to 3,312.69, 4,571.96 and 2,137.18

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Solution

The fourth proportional to 3,312.69, 4,571.96 and 2,137.18 is: 2,949.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,312.69 : 4,571.96 = 2,137.18 : x
  2. Step 2: Convert to fraction form
    3,312.69/4,571.96 = 2,137.18/x
  3. Step 3: Cross multiply
    3,312.69x = 4,571.96 × 2,137.18
  4. Step 4: Simplify right side
    3,312.69x = 9,771,079.36
  5. Step 5: Solve for x
    x = 9,771,079.36/3,312.69
  6. Step 6: Final answer
    x = 2,949.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.