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Finding the Fourth Proportional to 5,201.52, 7,178.16 and 2,963.34

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Solution

The fourth proportional to 5,201.52, 7,178.16 and 2,963.34 is: 4,089.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.52 : 7,178.16 = 2,963.34 : x
  2. Step 2: Convert to fraction form
    5,201.52/7,178.16 = 2,963.34/x
  3. Step 3: Cross multiply
    5,201.52x = 7,178.16 × 2,963.34
  4. Step 4: Simplify right side
    5,201.52x = 21,271,328.65
  5. Step 5: Solve for x
    x = 21,271,328.65/5,201.52
  6. Step 6: Final answer
    x = 4,089.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.