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Finding the Fourth Proportional to 3,428.78, 4,731.68 and 1,856.86

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Solution

The fourth proportional to 3,428.78, 4,731.68 and 1,856.86 is: 2,562.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.78 : 4,731.68 = 1,856.86 : x
  2. Step 2: Convert to fraction form
    3,428.78/4,731.68 = 1,856.86/x
  3. Step 3: Cross multiply
    3,428.78x = 4,731.68 × 1,856.86
  4. Step 4: Simplify right side
    3,428.78x = 8,786,067.32
  5. Step 5: Solve for x
    x = 8,786,067.32/3,428.78
  6. Step 6: Final answer
    x = 2,562.45

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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.