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Finding the Fourth Proportional to 5,681.61, 7,844.47 and 3,557.99

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Solution

The fourth proportional to 5,681.61, 7,844.47 and 3,557.99 is: 4,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,681.61 : 7,844.47 = 3,557.99 : x
  2. Step 2: Convert to fraction form
    5,681.61/7,844.47 = 3,557.99/x
  3. Step 3: Cross multiply
    5,681.61x = 7,844.47 × 3,557.99
  4. Step 4: Simplify right side
    5,681.61x = 27,910,591.25
  5. Step 5: Solve for x
    x = 27,910,591.25/5,681.61
  6. Step 6: Final answer
    x = 4,912.44

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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.