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Finding the Fourth Proportional to 4,914.92, 7,356.14 and 3,067.40

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Solution

The fourth proportional to 4,914.92, 7,356.14 and 3,067.40 is: 4,590.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.92 : 7,356.14 = 3,067.40 : x
  2. Step 2: Convert to fraction form
    4,914.92/7,356.14 = 3,067.40/x
  3. Step 3: Cross multiply
    4,914.92x = 7,356.14 × 3,067.40
  4. Step 4: Simplify right side
    4,914.92x = 22,564,223.84
  5. Step 5: Solve for x
    x = 22,564,223.84/4,914.92
  6. Step 6: Final answer
    x = 4,590.96

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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.