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Finding the Fourth Proportional to 3,966.63, 5,471.47 and 2,552.16

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Solution

The fourth proportional to 3,966.63, 5,471.47 and 2,552.16 is: 3,520.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.63 : 5,471.47 = 2,552.16 : x
  2. Step 2: Convert to fraction form
    3,966.63/5,471.47 = 2,552.16/x
  3. Step 3: Cross multiply
    3,966.63x = 5,471.47 × 2,552.16
  4. Step 4: Simplify right side
    3,966.63x = 13,964,054.11
  5. Step 5: Solve for x
    x = 13,964,054.11/3,966.63
  6. Step 6: Final answer
    x = 3,520.38

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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.