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Finding the Fourth Proportional to 5,293.57, 7,940.40 and 2,005.78

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Solution

The fourth proportional to 5,293.57, 7,940.40 and 2,005.78 is: 3,008.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,293.57 : 7,940.40 = 2,005.78 : x
  2. Step 2: Convert to fraction form
    5,293.57/7,940.40 = 2,005.78/x
  3. Step 3: Cross multiply
    5,293.57x = 7,940.40 × 2,005.78
  4. Step 4: Simplify right side
    5,293.57x = 15,926,695.51
  5. Step 5: Solve for x
    x = 15,926,695.51/5,293.57
  6. Step 6: Final answer
    x = 3,008.69

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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.