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Finding the Fourth Proportional to 3,296.86, 4,911.99 and 3,140.12

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Solution

The fourth proportional to 3,296.86, 4,911.99 and 3,140.12 is: 4,678.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,296.86 : 4,911.99 = 3,140.12 : x
  2. Step 2: Convert to fraction form
    3,296.86/4,911.99 = 3,140.12/x
  3. Step 3: Cross multiply
    3,296.86x = 4,911.99 × 3,140.12
  4. Step 4: Simplify right side
    3,296.86x = 15,424,250.32
  5. Step 5: Solve for x
    x = 15,424,250.32/3,296.86
  6. Step 6: Final answer
    x = 4,678.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.