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Finding the Fourth Proportional to 5,471.15, 7,560.41 and 4,476.07

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Solution

The fourth proportional to 5,471.15, 7,560.41 and 4,476.07 is: 6,185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,471.15 : 7,560.41 = 4,476.07 : x
  2. Step 2: Convert to fraction form
    5,471.15/7,560.41 = 4,476.07/x
  3. Step 3: Cross multiply
    5,471.15x = 7,560.41 × 4,476.07
  4. Step 4: Simplify right side
    5,471.15x = 33,840,924.39
  5. Step 5: Solve for x
    x = 33,840,924.39/5,471.15
  6. Step 6: Final answer
    x = 6,185.34

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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.