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Finding the Fourth Proportional to 5,628.68, 7,767.62 and 3,390.65

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Solution

The fourth proportional to 5,628.68, 7,767.62 and 3,390.65 is: 4,679.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.68 : 7,767.62 = 3,390.65 : x
  2. Step 2: Convert to fraction form
    5,628.68/7,767.62 = 3,390.65/x
  3. Step 3: Cross multiply
    5,628.68x = 7,767.62 × 3,390.65
  4. Step 4: Simplify right side
    5,628.68x = 26,337,224.96
  5. Step 5: Solve for x
    x = 26,337,224.96/5,628.68
  6. Step 6: Final answer
    x = 4,679.12

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