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Finding the Fourth Proportional to 4,287.74, 6,432 and 1,690.08

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Solution

The fourth proportional to 4,287.74, 6,432 and 1,690.08 is: 2,535.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,287.74 : 6,432 = 1,690.08 : x
  2. Step 2: Convert to fraction form
    4,287.74/6,432 = 1,690.08/x
  3. Step 3: Cross multiply
    4,287.74x = 6,432 × 1,690.08
  4. Step 4: Simplify right side
    4,287.74x = 10,870,594.56
  5. Step 5: Solve for x
    x = 10,870,594.56/4,287.74
  6. Step 6: Final answer
    x = 2,535.27

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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.