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Finding the Fourth Proportional to 4,743.91, 6,532.11 and 4,298.92

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Solution

The fourth proportional to 4,743.91, 6,532.11 and 4,298.92 is: 5,919.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,743.91 : 6,532.11 = 4,298.92 : x
  2. Step 2: Convert to fraction form
    4,743.91/6,532.11 = 4,298.92/x
  3. Step 3: Cross multiply
    4,743.91x = 6,532.11 × 4,298.92
  4. Step 4: Simplify right side
    4,743.91x = 28,081,012.95
  5. Step 5: Solve for x
    x = 28,081,012.95/4,743.91
  6. Step 6: Final answer
    x = 5,919.38

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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.