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Finding the Fourth Proportional to 3,291.90, 4,930.83 and 3,064.02

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Solution

The fourth proportional to 3,291.90, 4,930.83 and 3,064.02 is: 4,589.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,291.90 : 4,930.83 = 3,064.02 : x
  2. Step 2: Convert to fraction form
    3,291.90/4,930.83 = 3,064.02/x
  3. Step 3: Cross multiply
    3,291.90x = 4,930.83 × 3,064.02
  4. Step 4: Simplify right side
    3,291.90x = 15,108,161.74
  5. Step 5: Solve for x
    x = 15,108,161.74/3,291.90
  6. Step 6: Final answer
    x = 4,589.50

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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.