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Finding the Fourth Proportional to 5,643.12, 7,788.12 and 3,159.12

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Solution

The fourth proportional to 5,643.12, 7,788.12 and 3,159.12 is: 4,359.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.12 : 7,788.12 = 3,159.12 : x
  2. Step 2: Convert to fraction form
    5,643.12/7,788.12 = 3,159.12/x
  3. Step 3: Cross multiply
    5,643.12x = 7,788.12 × 3,159.12
  4. Step 4: Simplify right side
    5,643.12x = 24,603,605.65
  5. Step 5: Solve for x
    x = 24,603,605.65/5,643.12
  6. Step 6: Final answer
    x = 4,359.93

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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.