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Finding the Fourth Proportional to 3,643.31, 5,464.67 and 1,046.25

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Solution

The fourth proportional to 3,643.31, 5,464.67 and 1,046.25 is: 1,569.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.31 : 5,464.67 = 1,046.25 : x
  2. Step 2: Convert to fraction form
    3,643.31/5,464.67 = 1,046.25/x
  3. Step 3: Cross multiply
    3,643.31x = 5,464.67 × 1,046.25
  4. Step 4: Simplify right side
    3,643.31x = 5,717,405.76
  5. Step 5: Solve for x
    x = 5,717,405.76/3,643.31
  6. Step 6: Final answer
    x = 1,569.29

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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.