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Finding the Fourth Proportional to 3,681.88, 5,523.18 and 1,216.92

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Solution

The fourth proportional to 3,681.88, 5,523.18 and 1,216.92 is: 1,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.88 : 5,523.18 = 1,216.92 : x
  2. Step 2: Convert to fraction form
    3,681.88/5,523.18 = 1,216.92/x
  3. Step 3: Cross multiply
    3,681.88x = 5,523.18 × 1,216.92
  4. Step 4: Simplify right side
    3,681.88x = 6,721,268.21
  5. Step 5: Solve for x
    x = 6,721,268.21/3,681.88
  6. Step 6: Final answer
    x = 1,825.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.