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Finding the Fourth Proportional to 3,156.46, 4,357.94 and 2,824.31

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Solution

The fourth proportional to 3,156.46, 4,357.94 and 2,824.31 is: 3,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,156.46 : 4,357.94 = 2,824.31 : x
  2. Step 2: Convert to fraction form
    3,156.46/4,357.94 = 2,824.31/x
  3. Step 3: Cross multiply
    3,156.46x = 4,357.94 × 2,824.31
  4. Step 4: Simplify right side
    3,156.46x = 12,308,151.57
  5. Step 5: Solve for x
    x = 12,308,151.57/3,156.46
  6. Step 6: Final answer
    x = 3,899.36

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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.