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Finding the Fourth Proportional to 3,428.67, 4,731.54 and 1,856.76

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Solution

The fourth proportional to 3,428.67, 4,731.54 and 1,856.76 is: 2,562.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,428.67 : 4,731.54 = 1,856.76 : x
  2. Step 2: Convert to fraction form
    3,428.67/4,731.54 = 1,856.76/x
  3. Step 3: Cross multiply
    3,428.67x = 4,731.54 × 1,856.76
  4. Step 4: Simplify right side
    3,428.67x = 8,785,334.21
  5. Step 5: Solve for x
    x = 8,785,334.21/3,428.67
  6. Step 6: Final answer
    x = 2,562.32

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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.