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Finding the Fourth Proportional to 4,864.26, 7,290.24 and 2,643

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Solution

The fourth proportional to 4,864.26, 7,290.24 and 2,643 is: 3,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.26 : 7,290.24 = 2,643 : x
  2. Step 2: Convert to fraction form
    4,864.26/7,290.24 = 2,643/x
  3. Step 3: Cross multiply
    4,864.26x = 7,290.24 × 2,643
  4. Step 4: Simplify right side
    4,864.26x = 19,268,104.32
  5. Step 5: Solve for x
    x = 19,268,104.32/4,864.26
  6. Step 6: Final answer
    x = 3,961.16

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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.