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Finding the Fourth Proportional to 4,687, 6,468.06 and 2,824.36

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Solution

The fourth proportional to 4,687, 6,468.06 and 2,824.36 is: 3,897.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687 : 6,468.06 = 2,824.36 : x
  2. Step 2: Convert to fraction form
    4,687/6,468.06 = 2,824.36/x
  3. Step 3: Cross multiply
    4,687x = 6,468.06 × 2,824.36
  4. Step 4: Simplify right side
    4,687x = 18,268,129.94
  5. Step 5: Solve for x
    x = 18,268,129.94/4,687
  6. Step 6: Final answer
    x = 3,897.62

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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.