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Finding the Fourth Proportional to 5,634.82, 7,776.70 and 3,397.84

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Solution

The fourth proportional to 5,634.82, 7,776.70 and 3,397.84 is: 4,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,634.82 : 7,776.70 = 3,397.84 : x
  2. Step 2: Convert to fraction form
    5,634.82/7,776.70 = 3,397.84/x
  3. Step 3: Cross multiply
    5,634.82x = 7,776.70 × 3,397.84
  4. Step 4: Simplify right side
    5,634.82x = 26,423,982.33
  5. Step 5: Solve for x
    x = 26,423,982.33/5,634.82
  6. Step 6: Final answer
    x = 4,689.41

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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.