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Finding the Fourth Proportional to 3,653.31, 5,482.06 and 1,544.77

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Solution

The fourth proportional to 3,653.31, 5,482.06 and 1,544.77 is: 2,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.31 : 5,482.06 = 1,544.77 : x
  2. Step 2: Convert to fraction form
    3,653.31/5,482.06 = 1,544.77/x
  3. Step 3: Cross multiply
    3,653.31x = 5,482.06 × 1,544.77
  4. Step 4: Simplify right side
    3,653.31x = 8,468,504.26
  5. Step 5: Solve for x
    x = 8,468,504.26/3,653.31
  6. Step 6: Final answer
    x = 2,318.04

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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.