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Finding the Fourth Proportional to 5,690.68, 7,852.38 and 3,452.65

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Solution

The fourth proportional to 5,690.68, 7,852.38 and 3,452.65 is: 4,764.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,690.68 : 7,852.38 = 3,452.65 : x
  2. Step 2: Convert to fraction form
    5,690.68/7,852.38 = 3,452.65/x
  3. Step 3: Cross multiply
    5,690.68x = 7,852.38 × 3,452.65
  4. Step 4: Simplify right side
    5,690.68x = 27,111,500.18
  5. Step 5: Solve for x
    x = 27,111,500.18/5,690.68
  6. Step 6: Final answer
    x = 4,764.20

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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.