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Finding the Fourth Proportional to 3,187.74, 4,774.29 and 2,214.54

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Solution

The fourth proportional to 3,187.74, 4,774.29 and 2,214.54 is: 3,316.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,187.74 : 4,774.29 = 2,214.54 : x
  2. Step 2: Convert to fraction form
    3,187.74/4,774.29 = 2,214.54/x
  3. Step 3: Cross multiply
    3,187.74x = 4,774.29 × 2,214.54
  4. Step 4: Simplify right side
    3,187.74x = 10,572,856.18
  5. Step 5: Solve for x
    x = 10,572,856.18/3,187.74
  6. Step 6: Final answer
    x = 3,316.72

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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.