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Finding the Fourth Proportional to 3,643.12, 5,464.68 and 1,046.26

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Solution

The fourth proportional to 3,643.12, 5,464.68 and 1,046.26 is: 1,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.12 : 5,464.68 = 1,046.26 : x
  2. Step 2: Convert to fraction form
    3,643.12/5,464.68 = 1,046.26/x
  3. Step 3: Cross multiply
    3,643.12x = 5,464.68 × 1,046.26
  4. Step 4: Simplify right side
    3,643.12x = 5,717,476.10
  5. Step 5: Solve for x
    x = 5,717,476.10/3,643.12
  6. Step 6: Final answer
    x = 1,569.39

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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.