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Finding the Fourth Proportional to 3,649.68, 5,035.95 and 2,077.47

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Solution

The fourth proportional to 3,649.68, 5,035.95 and 2,077.47 is: 2,866.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.68 : 5,035.95 = 2,077.47 : x
  2. Step 2: Convert to fraction form
    3,649.68/5,035.95 = 2,077.47/x
  3. Step 3: Cross multiply
    3,649.68x = 5,035.95 × 2,077.47
  4. Step 4: Simplify right side
    3,649.68x = 10,462,035.05
  5. Step 5: Solve for x
    x = 10,462,035.05/3,649.68
  6. Step 6: Final answer
    x = 2,866.56

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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.