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Finding the Fourth Proportional to 3,856.52, 5,324.37 and 2,970.62

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Solution

The fourth proportional to 3,856.52, 5,324.37 and 2,970.62 is: 4,101.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.52 : 5,324.37 = 2,970.62 : x
  2. Step 2: Convert to fraction form
    3,856.52/5,324.37 = 2,970.62/x
  3. Step 3: Cross multiply
    3,856.52x = 5,324.37 × 2,970.62
  4. Step 4: Simplify right side
    3,856.52x = 15,816,680.01
  5. Step 5: Solve for x
    x = 15,816,680.01/3,856.52
  6. Step 6: Final answer
    x = 4,101.28

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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.