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Finding the Fourth Proportional to 3,649.66, 5,035.49 and 2,055.76

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Solution

The fourth proportional to 3,649.66, 5,035.49 and 2,055.76 is: 2,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.66 : 5,035.49 = 2,055.76 : x
  2. Step 2: Convert to fraction form
    3,649.66/5,035.49 = 2,055.76/x
  3. Step 3: Cross multiply
    3,649.66x = 5,035.49 × 2,055.76
  4. Step 4: Simplify right side
    3,649.66x = 10,351,733.74
  5. Step 5: Solve for x
    x = 10,351,733.74/3,649.66
  6. Step 6: Final answer
    x = 2,836.36

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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.