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Finding the Fourth Proportional to 3,649.81, 5,037.04 and 2,078.01

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Solution

The fourth proportional to 3,649.81, 5,037.04 and 2,078.01 is: 2,867.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649.81 : 5,037.04 = 2,078.01 : x
  2. Step 2: Convert to fraction form
    3,649.81/5,037.04 = 2,078.01/x
  3. Step 3: Cross multiply
    3,649.81x = 5,037.04 × 2,078.01
  4. Step 4: Simplify right side
    3,649.81x = 10,466,994.31
  5. Step 5: Solve for x
    x = 10,466,994.31/3,649.81
  6. Step 6: Final answer
    x = 2,867.82

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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.