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Finding the Fourth Proportional to 4,093.74, 5,649.94 and 2,325.50

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Solution

The fourth proportional to 4,093.74, 5,649.94 and 2,325.50 is: 3,209.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,093.74 : 5,649.94 = 2,325.50 : x
  2. Step 2: Convert to fraction form
    4,093.74/5,649.94 = 2,325.50/x
  3. Step 3: Cross multiply
    4,093.74x = 5,649.94 × 2,325.50
  4. Step 4: Simplify right side
    4,093.74x = 13,138,935.47
  5. Step 5: Solve for x
    x = 13,138,935.47/4,093.74
  6. Step 6: Final answer
    x = 3,209.52

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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.