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Finding the Fourth Proportional to 3,380, 5,072.25 and 1,301.72

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Solution

The fourth proportional to 3,380, 5,072.25 and 1,301.72 is: 1,953.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380 : 5,072.25 = 1,301.72 : x
  2. Step 2: Convert to fraction form
    3,380/5,072.25 = 1,301.72/x
  3. Step 3: Cross multiply
    3,380x = 5,072.25 × 1,301.72
  4. Step 4: Simplify right side
    3,380x = 6,602,649.27
  5. Step 5: Solve for x
    x = 6,602,649.27/3,380
  6. Step 6: Final answer
    x = 1,953.45

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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.