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Finding the Fourth Proportional to 3,686.52, 5,529.23 and 1,089.66

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Solution

The fourth proportional to 3,686.52, 5,529.23 and 1,089.66 is: 1,634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.52 : 5,529.23 = 1,089.66 : x
  2. Step 2: Convert to fraction form
    3,686.52/5,529.23 = 1,089.66/x
  3. Step 3: Cross multiply
    3,686.52x = 5,529.23 × 1,089.66
  4. Step 4: Simplify right side
    3,686.52x = 6,024,980.76
  5. Step 5: Solve for x
    x = 6,024,980.76/3,686.52
  6. Step 6: Final answer
    x = 1,634.33

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