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Finding the Fourth Proportional to 5,638.77, 7,780.10 and 3,249.45

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Solution

The fourth proportional to 5,638.77, 7,780.10 and 3,249.45 is: 4,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.77 : 7,780.10 = 3,249.45 : x
  2. Step 2: Convert to fraction form
    5,638.77/7,780.10 = 3,249.45/x
  3. Step 3: Cross multiply
    5,638.77x = 7,780.10 × 3,249.45
  4. Step 4: Simplify right side
    5,638.77x = 25,281,029.70
  5. Step 5: Solve for x
    x = 25,281,029.70/5,638.77
  6. Step 6: Final answer
    x = 4,483.43

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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.