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Finding the Fourth Proportional to 3,434.88, 4,738.56 and 2,037.12

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Solution

The fourth proportional to 3,434.88, 4,738.56 and 2,037.12 is: 2,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.88 : 4,738.56 = 2,037.12 : x
  2. Step 2: Convert to fraction form
    3,434.88/4,738.56 = 2,037.12/x
  3. Step 3: Cross multiply
    3,434.88x = 4,738.56 × 2,037.12
  4. Step 4: Simplify right side
    3,434.88x = 9,653,015.35
  5. Step 5: Solve for x
    x = 9,653,015.35/3,434.88
  6. Step 6: Final answer
    x = 2,810.29

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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.