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Finding the Fourth Proportional to 5,564.30, 7,679.09 and 3,206.59

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Solution

The fourth proportional to 5,564.30, 7,679.09 and 3,206.59 is: 4,425.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,564.30 : 7,679.09 = 3,206.59 : x
  2. Step 2: Convert to fraction form
    5,564.30/7,679.09 = 3,206.59/x
  3. Step 3: Cross multiply
    5,564.30x = 7,679.09 × 3,206.59
  4. Step 4: Simplify right side
    5,564.30x = 24,623,682.02
  5. Step 5: Solve for x
    x = 24,623,682.02/5,564.30
  6. Step 6: Final answer
    x = 4,425.30

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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.