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Finding the Fourth Proportional to 3,356.71, 5,037.05 and 1,278.47

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Solution

The fourth proportional to 3,356.71, 5,037.05 and 1,278.47 is: 1,918.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,356.71 : 5,037.05 = 1,278.47 : x
  2. Step 2: Convert to fraction form
    3,356.71/5,037.05 = 1,278.47/x
  3. Step 3: Cross multiply
    3,356.71x = 5,037.05 × 1,278.47
  4. Step 4: Simplify right side
    3,356.71x = 6,439,717.31
  5. Step 5: Solve for x
    x = 6,439,717.31/3,356.71
  6. Step 6: Final answer
    x = 1,918.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.