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Finding the Fourth Proportional to 5,563.84, 7,678.38 and 3,206.20

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Solution

The fourth proportional to 5,563.84, 7,678.38 and 3,206.20 is: 4,424.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,563.84 : 7,678.38 = 3,206.20 : x
  2. Step 2: Convert to fraction form
    5,563.84/7,678.38 = 3,206.20/x
  3. Step 3: Cross multiply
    5,563.84x = 7,678.38 × 3,206.20
  4. Step 4: Simplify right side
    5,563.84x = 24,618,421.96
  5. Step 5: Solve for x
    x = 24,618,421.96/5,563.84
  6. Step 6: Final answer
    x = 4,424.72

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Why These Related Problems?

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