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Finding the Fourth Proportional to 5,638.84, 7,780.95 and 3,249.16

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Solution

The fourth proportional to 5,638.84, 7,780.95 and 3,249.16 is: 4,483.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.84 : 7,780.95 = 3,249.16 : x
  2. Step 2: Convert to fraction form
    5,638.84/7,780.95 = 3,249.16/x
  3. Step 3: Cross multiply
    5,638.84x = 7,780.95 × 3,249.16
  4. Step 4: Simplify right side
    5,638.84x = 25,281,551.50
  5. Step 5: Solve for x
    x = 25,281,551.50/5,638.84
  6. Step 6: Final answer
    x = 4,483.47

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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.