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Finding the Fourth Proportional to 4,698.82, 6,484.38 and 2,930.44

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Solution

The fourth proportional to 4,698.82, 6,484.38 and 2,930.44 is: 4,044.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.82 : 6,484.38 = 2,930.44 : x
  2. Step 2: Convert to fraction form
    4,698.82/6,484.38 = 2,930.44/x
  3. Step 3: Cross multiply
    4,698.82x = 6,484.38 × 2,930.44
  4. Step 4: Simplify right side
    4,698.82x = 19,002,086.53
  5. Step 5: Solve for x
    x = 19,002,086.53/4,698.82
  6. Step 6: Final answer
    x = 4,044.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.