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Finding the Fourth Proportional to 5,569, 7,681.68 and 3,889.80

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Solution

The fourth proportional to 5,569, 7,681.68 and 3,889.80 is: 5,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569 : 7,681.68 = 3,889.80 : x
  2. Step 2: Convert to fraction form
    5,569/7,681.68 = 3,889.80/x
  3. Step 3: Cross multiply
    5,569x = 7,681.68 × 3,889.80
  4. Step 4: Simplify right side
    5,569x = 29,880,198.86
  5. Step 5: Solve for x
    x = 29,880,198.86/5,569
  6. Step 6: Final answer
    x = 5,365.45

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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.