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Finding the Fourth Proportional to 5,564.70, 7,680.06 and 3,206.43

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Solution

The fourth proportional to 5,564.70, 7,680.06 and 3,206.43 is: 4,425.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.70 : 7,680.06 = 3,206.43 : x
  2. Step 2: Convert to fraction form
    5,564.70/7,680.06 = 3,206.43/x
  3. Step 3: Cross multiply
    5,564.70x = 7,680.06 × 3,206.43
  4. Step 4: Simplify right side
    5,564.70x = 24,625,574.79
  5. Step 5: Solve for x
    x = 24,625,574.79/5,564.70
  6. Step 6: Final answer
    x = 4,425.32

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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.