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Finding the Fourth Proportional to 5,415.74, 7,471.34 and 3,176.48

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Solution

The fourth proportional to 5,415.74, 7,471.34 and 3,176.48 is: 4,382.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.74 : 7,471.34 = 3,176.48 : x
  2. Step 2: Convert to fraction form
    5,415.74/7,471.34 = 3,176.48/x
  3. Step 3: Cross multiply
    5,415.74x = 7,471.34 × 3,176.48
  4. Step 4: Simplify right side
    5,415.74x = 23,732,562.08
  5. Step 5: Solve for x
    x = 23,732,562.08/5,415.74
  6. Step 6: Final answer
    x = 4,382.15

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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.