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Finding the Fourth Proportional to 3,411.38, 4,707.90 and 1,919.41

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Solution

The fourth proportional to 3,411.38, 4,707.90 and 1,919.41 is: 2,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,411.38 : 4,707.90 = 1,919.41 : x
  2. Step 2: Convert to fraction form
    3,411.38/4,707.90 = 1,919.41/x
  3. Step 3: Cross multiply
    3,411.38x = 4,707.90 × 1,919.41
  4. Step 4: Simplify right side
    3,411.38x = 9,036,378.57
  5. Step 5: Solve for x
    x = 9,036,378.57/3,411.38
  6. Step 6: Final answer
    x = 2,648.89

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Why These Related Problems?

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