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Finding the Fourth Proportional to 5,564.58, 7,679.25 and 3,206.94

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Solution

The fourth proportional to 5,564.58, 7,679.25 and 3,206.94 is: 4,425.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.58 : 7,679.25 = 3,206.94 : x
  2. Step 2: Convert to fraction form
    5,564.58/7,679.25 = 3,206.94/x
  3. Step 3: Cross multiply
    5,564.58x = 7,679.25 × 3,206.94
  4. Step 4: Simplify right side
    5,564.58x = 24,626,894.00
  5. Step 5: Solve for x
    x = 24,626,894.00/5,564.58
  6. Step 6: Final answer
    x = 4,425.65

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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.