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Finding the Fourth Proportional to 3,671.84, 5,507.04 and 1,074.18

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Solution

The fourth proportional to 3,671.84, 5,507.04 and 1,074.18 is: 1,611.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.84 : 5,507.04 = 1,074.18 : x
  2. Step 2: Convert to fraction form
    3,671.84/5,507.04 = 1,074.18/x
  3. Step 3: Cross multiply
    3,671.84x = 5,507.04 × 1,074.18
  4. Step 4: Simplify right side
    3,671.84x = 5,915,552.23
  5. Step 5: Solve for x
    x = 5,915,552.23/3,671.84
  6. Step 6: Final answer
    x = 1,611.06

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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.