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Finding the Fourth Proportional to 4,934.13, 7,404.83 and 2,337.06

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Solution

The fourth proportional to 4,934.13, 7,404.83 and 2,337.06 is: 3,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.13 : 7,404.83 = 2,337.06 : x
  2. Step 2: Convert to fraction form
    4,934.13/7,404.83 = 2,337.06/x
  3. Step 3: Cross multiply
    4,934.13x = 7,404.83 × 2,337.06
  4. Step 4: Simplify right side
    4,934.13x = 17,305,532.00
  5. Step 5: Solve for x
    x = 17,305,532.00/4,934.13
  6. Step 6: Final answer
    x = 3,507.31

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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.