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Finding the Fourth Proportional to 3,475, 5,213.34 and 1,423

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Solution

The fourth proportional to 3,475, 5,213.34 and 1,423 is: 2,134.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475 : 5,213.34 = 1,423 : x
  2. Step 2: Convert to fraction form
    3,475/5,213.34 = 1,423/x
  3. Step 3: Cross multiply
    3,475x = 5,213.34 × 1,423
  4. Step 4: Simplify right side
    3,475x = 7,418,582.82
  5. Step 5: Solve for x
    x = 7,418,582.82/3,475
  6. Step 6: Final answer
    x = 2,134.84

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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.