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Finding the Fourth Proportional to 5,669.32, 7,825.85 and 3,780.22

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Solution

The fourth proportional to 5,669.32, 7,825.85 and 3,780.22 is: 5,218.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,669.32 : 7,825.85 = 3,780.22 : x
  2. Step 2: Convert to fraction form
    5,669.32/7,825.85 = 3,780.22/x
  3. Step 3: Cross multiply
    5,669.32x = 7,825.85 × 3,780.22
  4. Step 4: Simplify right side
    5,669.32x = 29,583,434.69
  5. Step 5: Solve for x
    x = 29,583,434.69/5,669.32
  6. Step 6: Final answer
    x = 5,218.16

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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.