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Finding the Fourth Proportional to 5,643.32, 7,786.77 and 3,252.74

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Solution

The fourth proportional to 5,643.32, 7,786.77 and 3,252.74 is: 4,488.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.32 : 7,786.77 = 3,252.74 : x
  2. Step 2: Convert to fraction form
    5,643.32/7,786.77 = 3,252.74/x
  3. Step 3: Cross multiply
    5,643.32x = 7,786.77 × 3,252.74
  4. Step 4: Simplify right side
    5,643.32x = 25,328,338.25
  5. Step 5: Solve for x
    x = 25,328,338.25/5,643.32
  6. Step 6: Final answer
    x = 4,488.20

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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.