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Finding the Fourth Proportional to 4,687.50, 6,468.76 and 2,824.86

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Solution

The fourth proportional to 4,687.50, 6,468.76 and 2,824.86 is: 3,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,687.50 : 6,468.76 = 2,824.86 : x
  2. Step 2: Convert to fraction form
    4,687.50/6,468.76 = 2,824.86/x
  3. Step 3: Cross multiply
    4,687.50x = 6,468.76 × 2,824.86
  4. Step 4: Simplify right side
    4,687.50x = 18,273,341.37
  5. Step 5: Solve for x
    x = 18,273,341.37/4,687.50
  6. Step 6: Final answer
    x = 3,898.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.