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Finding the Fourth Proportional to 3,686.88, 5,526 and 1,738.56

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Solution

The fourth proportional to 3,686.88, 5,526 and 1,738.56 is: 2,605.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,686.88 : 5,526 = 1,738.56 : x
  2. Step 2: Convert to fraction form
    3,686.88/5,526 = 1,738.56/x
  3. Step 3: Cross multiply
    3,686.88x = 5,526 × 1,738.56
  4. Step 4: Simplify right side
    3,686.88x = 9,607,282.56
  5. Step 5: Solve for x
    x = 9,607,282.56/3,686.88
  6. Step 6: Final answer
    x = 2,605.80

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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.