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Finding the Fourth Proportional to 3,467, 5,200.54 and 1,001.84

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Solution

The fourth proportional to 3,467, 5,200.54 and 1,001.84 is: 1,502.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,467 : 5,200.54 = 1,001.84 : x
  2. Step 2: Convert to fraction form
    3,467/5,200.54 = 1,001.84/x
  3. Step 3: Cross multiply
    3,467x = 5,200.54 × 1,001.84
  4. Step 4: Simplify right side
    3,467x = 5,210,108.99
  5. Step 5: Solve for x
    x = 5,210,108.99/3,467
  6. Step 6: Final answer
    x = 1,502.77

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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.