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Finding the Fourth Proportional to 4,037.78, 6,047.13 and 2,278.46

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Solution

The fourth proportional to 4,037.78, 6,047.13 and 2,278.46 is: 3,412.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037.78 : 6,047.13 = 2,278.46 : x
  2. Step 2: Convert to fraction form
    4,037.78/6,047.13 = 2,278.46/x
  3. Step 3: Cross multiply
    4,037.78x = 6,047.13 × 2,278.46
  4. Step 4: Simplify right side
    4,037.78x = 13,778,143.82
  5. Step 5: Solve for x
    x = 13,778,143.82/4,037.78
  6. Step 6: Final answer
    x = 3,412.31

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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.