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Finding the Fourth Proportional to 5,709.58, 7,878.99 and 3,191.65

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Solution

The fourth proportional to 5,709.58, 7,878.99 and 3,191.65 is: 4,404.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.58 : 7,878.99 = 3,191.65 : x
  2. Step 2: Convert to fraction form
    5,709.58/7,878.99 = 3,191.65/x
  3. Step 3: Cross multiply
    5,709.58x = 7,878.99 × 3,191.65
  4. Step 4: Simplify right side
    5,709.58x = 25,146,978.43
  5. Step 5: Solve for x
    x = 25,146,978.43/5,709.58
  6. Step 6: Final answer
    x = 4,404.35

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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.