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Finding the Fourth Proportional to 4,471.38, 6,170.48 and 2,582.93

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Solution

The fourth proportional to 4,471.38, 6,170.48 and 2,582.93 is: 3,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,471.38 : 6,170.48 = 2,582.93 : x
  2. Step 2: Convert to fraction form
    4,471.38/6,170.48 = 2,582.93/x
  3. Step 3: Cross multiply
    4,471.38x = 6,170.48 × 2,582.93
  4. Step 4: Simplify right side
    4,471.38x = 15,937,930.10
  5. Step 5: Solve for x
    x = 15,937,930.10/4,471.38
  6. Step 6: Final answer
    x = 3,564.43

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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.