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Finding the Fourth Proportional to 5,197, 7,798.32 and 3,010

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Solution

The fourth proportional to 5,197, 7,798.32 and 3,010 is: 4,516.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,197 : 7,798.32 = 3,010 : x
  2. Step 2: Convert to fraction form
    5,197/7,798.32 = 3,010/x
  3. Step 3: Cross multiply
    5,197x = 7,798.32 × 3,010
  4. Step 4: Simplify right side
    5,197x = 23,472,943.20
  5. Step 5: Solve for x
    x = 23,472,943.20/5,197
  6. Step 6: Final answer
    x = 4,516.63

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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.