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Finding the Fourth Proportional to 3,686.50, 5,529.75 and 1,089.37

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Solution

The fourth proportional to 3,686.50, 5,529.75 and 1,089.37 is: 1,634.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.50 : 5,529.75 = 1,089.37 : x
  2. Step 2: Convert to fraction form
    3,686.50/5,529.75 = 1,089.37/x
  3. Step 3: Cross multiply
    3,686.50x = 5,529.75 × 1,089.37
  4. Step 4: Simplify right side
    3,686.50x = 6,023,943.76
  5. Step 5: Solve for x
    x = 6,023,943.76/3,686.50
  6. Step 6: Final answer
    x = 1,634.06

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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.