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Finding the Fourth Proportional to 3,681.54, 5,523.30 and 1,489.77

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Solution

The fourth proportional to 3,681.54, 5,523.30 and 1,489.77 is: 2,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,681.54 : 5,523.30 = 1,489.77 : x
  2. Step 2: Convert to fraction form
    3,681.54/5,523.30 = 1,489.77/x
  3. Step 3: Cross multiply
    3,681.54x = 5,523.30 × 1,489.77
  4. Step 4: Simplify right side
    3,681.54x = 8,228,446.64
  5. Step 5: Solve for x
    x = 8,228,446.64/3,681.54
  6. Step 6: Final answer
    x = 2,235.06

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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.