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Finding the Fourth Proportional to 5,643, 7,786.26 and 3,653.28

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Solution

The fourth proportional to 5,643, 7,786.26 and 3,653.28 is: 5,040.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643 : 7,786.26 = 3,653.28 : x
  2. Step 2: Convert to fraction form
    5,643/7,786.26 = 3,653.28/x
  3. Step 3: Cross multiply
    5,643x = 7,786.26 × 3,653.28
  4. Step 4: Simplify right side
    5,643x = 28,445,387.93
  5. Step 5: Solve for x
    x = 28,445,387.93/5,643
  6. Step 6: Final answer
    x = 5,040.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.