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Finding the Fourth Proportional to 2,974.57, 4,487.83 and 2,966.37

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Solution

The fourth proportional to 2,974.57, 4,487.83 and 2,966.37 is: 4,475.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.57 : 4,487.83 = 2,966.37 : x
  2. Step 2: Convert to fraction form
    2,974.57/4,487.83 = 2,966.37/x
  3. Step 3: Cross multiply
    2,974.57x = 4,487.83 × 2,966.37
  4. Step 4: Simplify right side
    2,974.57x = 13,312,556.86
  5. Step 5: Solve for x
    x = 13,312,556.86/2,974.57
  6. Step 6: Final answer
    x = 4,475.46

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.