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Finding the Fourth Proportional to 5,296.71, 7,939.78 and 2,656.15

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Solution

The fourth proportional to 5,296.71, 7,939.78 and 2,656.15 is: 3,981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.71 : 7,939.78 = 2,656.15 : x
  2. Step 2: Convert to fraction form
    5,296.71/7,939.78 = 2,656.15/x
  3. Step 3: Cross multiply
    5,296.71x = 7,939.78 × 2,656.15
  4. Step 4: Simplify right side
    5,296.71x = 21,089,246.65
  5. Step 5: Solve for x
    x = 21,089,246.65/5,296.71
  6. Step 6: Final answer
    x = 3,981.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.