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Finding the Fourth Proportional to 5,299.15, 7,943.52 and 2,960.27

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Solution

The fourth proportional to 5,299.15, 7,943.52 and 2,960.27 is: 4,437.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,299.15 : 7,943.52 = 2,960.27 : x
  2. Step 2: Convert to fraction form
    5,299.15/7,943.52 = 2,960.27/x
  3. Step 3: Cross multiply
    5,299.15x = 7,943.52 × 2,960.27
  4. Step 4: Simplify right side
    5,299.15x = 23,514,970.81
  5. Step 5: Solve for x
    x = 23,514,970.81/5,299.15
  6. Step 6: Final answer
    x = 4,437.50

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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.