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Finding the Fourth Proportional to 3,294.53, 4,943.62 and 1,348.10

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Solution

The fourth proportional to 3,294.53, 4,943.62 and 1,348.10 is: 2,022.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,294.53 : 4,943.62 = 1,348.10 : x
  2. Step 2: Convert to fraction form
    3,294.53/4,943.62 = 1,348.10/x
  3. Step 3: Cross multiply
    3,294.53x = 4,943.62 × 1,348.10
  4. Step 4: Simplify right side
    3,294.53x = 6,664,482.04
  5. Step 5: Solve for x
    x = 6,664,482.04/3,294.53
  6. Step 6: Final answer
    x = 2,022.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.