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Finding the Fourth Proportional to 4,359.54, 6,016.32 and 2,471.20

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Solution

The fourth proportional to 4,359.54, 6,016.32 and 2,471.20 is: 3,410.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,359.54 : 6,016.32 = 2,471.20 : x
  2. Step 2: Convert to fraction form
    4,359.54/6,016.32 = 2,471.20/x
  3. Step 3: Cross multiply
    4,359.54x = 6,016.32 × 2,471.20
  4. Step 4: Simplify right side
    4,359.54x = 14,867,529.98
  5. Step 5: Solve for x
    x = 14,867,529.98/4,359.54
  6. Step 6: Final answer
    x = 3,410.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.