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Finding the Fourth Proportional to 4,642.86, 6,964.02 and 1,355.88

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Solution

The fourth proportional to 4,642.86, 6,964.02 and 1,355.88 is: 2,033.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.86 : 6,964.02 = 1,355.88 : x
  2. Step 2: Convert to fraction form
    4,642.86/6,964.02 = 1,355.88/x
  3. Step 3: Cross multiply
    4,642.86x = 6,964.02 × 1,355.88
  4. Step 4: Simplify right side
    4,642.86x = 9,442,375.44
  5. Step 5: Solve for x
    x = 9,442,375.44/4,642.86
  6. Step 6: Final answer
    x = 2,033.74

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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.