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Finding the Fourth Proportional to 3,454, 5,176.33 and 1,891.65

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Solution

The fourth proportional to 3,454, 5,176.33 and 1,891.65 is: 2,834.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454 : 5,176.33 = 1,891.65 : x
  2. Step 2: Convert to fraction form
    3,454/5,176.33 = 1,891.65/x
  3. Step 3: Cross multiply
    3,454x = 5,176.33 × 1,891.65
  4. Step 4: Simplify right side
    3,454x = 9,791,804.64
  5. Step 5: Solve for x
    x = 9,791,804.64/3,454
  6. Step 6: Final answer
    x = 2,834.92

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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.