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Finding the Fourth Proportional to 3,649.44, 5,035.94 and 2,056

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Solution

The fourth proportional to 3,649.44, 5,035.94 and 2,056 is: 2,837.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.44 : 5,035.94 = 2,056 : x
  2. Step 2: Convert to fraction form
    3,649.44/5,035.94 = 2,056/x
  3. Step 3: Cross multiply
    3,649.44x = 5,035.94 × 2,056
  4. Step 4: Simplify right side
    3,649.44x = 10,353,887.50
  5. Step 5: Solve for x
    x = 10,353,887.50/3,649.44
  6. Step 6: Final answer
    x = 2,837.12

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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.