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Finding the Fourth Proportional to 3,374, 5,038.84 and 2,912.72

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Solution

The fourth proportional to 3,374, 5,038.84 and 2,912.72 is: 4,349.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,374 : 5,038.84 = 2,912.72 : x
  2. Step 2: Convert to fraction form
    3,374/5,038.84 = 2,912.72/x
  3. Step 3: Cross multiply
    3,374x = 5,038.84 × 2,912.72
  4. Step 4: Simplify right side
    3,374x = 14,676,730.04
  5. Step 5: Solve for x
    x = 14,676,730.04/3,374
  6. Step 6: Final answer
    x = 4,349.95

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Why These Related Problems?

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