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Finding the Fourth Proportional to 4,367.52, 6,022.38 and 3,802.95

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Solution

The fourth proportional to 4,367.52, 6,022.38 and 3,802.95 is: 5,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,367.52 : 6,022.38 = 3,802.95 : x
  2. Step 2: Convert to fraction form
    4,367.52/6,022.38 = 3,802.95/x
  3. Step 3: Cross multiply
    4,367.52x = 6,022.38 × 3,802.95
  4. Step 4: Simplify right side
    4,367.52x = 22,902,810.02
  5. Step 5: Solve for x
    x = 22,902,810.02/4,367.52
  6. Step 6: Final answer
    x = 5,243.89

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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.