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Finding the Fourth Proportional to 2,974.16, 4,457.08 and 2,533.11

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Solution

The fourth proportional to 2,974.16, 4,457.08 and 2,533.11 is: 3,796.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.16 : 4,457.08 = 2,533.11 : x
  2. Step 2: Convert to fraction form
    2,974.16/4,457.08 = 2,533.11/x
  3. Step 3: Cross multiply
    2,974.16x = 4,457.08 × 2,533.11
  4. Step 4: Simplify right side
    2,974.16x = 11,290,273.92
  5. Step 5: Solve for x
    x = 11,290,273.92/2,974.16
  6. Step 6: Final answer
    x = 3,796.12

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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.