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Finding the Fourth Proportional to 7,471.59, 10,310.83 and 4,285

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Solution

The fourth proportional to 7,471.59, 10,310.83 and 4,285 is: 5,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.59 : 10,310.83 = 4,285 : x
  2. Step 2: Convert to fraction form
    7,471.59/10,310.83 = 4,285/x
  3. Step 3: Cross multiply
    7,471.59x = 10,310.83 × 4,285
  4. Step 4: Simplify right side
    7,471.59x = 44,181,906.55
  5. Step 5: Solve for x
    x = 44,181,906.55/7,471.59
  6. Step 6: Final answer
    x = 5,913.32

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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.