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Finding the Fourth Proportional to 3,317.71, 4,974.89 and 1,856.47

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Solution

The fourth proportional to 3,317.71, 4,974.89 and 1,856.47 is: 2,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,317.71 : 4,974.89 = 1,856.47 : x
  2. Step 2: Convert to fraction form
    3,317.71/4,974.89 = 1,856.47/x
  3. Step 3: Cross multiply
    3,317.71x = 4,974.89 × 1,856.47
  4. Step 4: Simplify right side
    3,317.71x = 9,235,724.76
  5. Step 5: Solve for x
    x = 9,235,724.76/3,317.71
  6. Step 6: Final answer
    x = 2,783.76

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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.