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Finding the Fourth Proportional to 3,759.16, 5,634.51 and 1,416.88

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Solution

The fourth proportional to 3,759.16, 5,634.51 and 1,416.88 is: 2,123.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.16 : 5,634.51 = 1,416.88 : x
  2. Step 2: Convert to fraction form
    3,759.16/5,634.51 = 1,416.88/x
  3. Step 3: Cross multiply
    3,759.16x = 5,634.51 × 1,416.88
  4. Step 4: Simplify right side
    3,759.16x = 7,983,424.53
  5. Step 5: Solve for x
    x = 7,983,424.53/3,759.16
  6. Step 6: Final answer
    x = 2,123.73

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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.