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Finding the Fourth Proportional to 3,224.34, 4,836.11 and 1,277.91

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Solution

The fourth proportional to 3,224.34, 4,836.11 and 1,277.91 is: 1,916.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,224.34 : 4,836.11 = 1,277.91 : x
  2. Step 2: Convert to fraction form
    3,224.34/4,836.11 = 1,277.91/x
  3. Step 3: Cross multiply
    3,224.34x = 4,836.11 × 1,277.91
  4. Step 4: Simplify right side
    3,224.34x = 6,180,106.94
  5. Step 5: Solve for x
    x = 6,180,106.94/3,224.34
  6. Step 6: Final answer
    x = 1,916.70

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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.