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Finding the Fourth Proportional to 3,889.71, 5,368.77 and 2,317.50

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Solution

The fourth proportional to 3,889.71, 5,368.77 and 2,317.50 is: 3,198.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,889.71 : 5,368.77 = 2,317.50 : x
  2. Step 2: Convert to fraction form
    3,889.71/5,368.77 = 2,317.50/x
  3. Step 3: Cross multiply
    3,889.71x = 5,368.77 × 2,317.50
  4. Step 4: Simplify right side
    3,889.71x = 12,442,124.48
  5. Step 5: Solve for x
    x = 12,442,124.48/3,889.71
  6. Step 6: Final answer
    x = 3,198.73

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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.