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Finding the Fourth Proportional to 3,800.48, 5,245.54 and 2,471.87

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Solution

The fourth proportional to 3,800.48, 5,245.54 and 2,471.87 is: 3,411.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800.48 : 5,245.54 = 2,471.87 : x
  2. Step 2: Convert to fraction form
    3,800.48/5,245.54 = 2,471.87/x
  3. Step 3: Cross multiply
    3,800.48x = 5,245.54 × 2,471.87
  4. Step 4: Simplify right side
    3,800.48x = 12,966,299.89
  5. Step 5: Solve for x
    x = 12,966,299.89/3,800.48
  6. Step 6: Final answer
    x = 3,411.76

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1.5x scale

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.