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Finding the Fourth Proportional to 4,393.72, 6,590.22 and 1,471.96

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Solution

The fourth proportional to 4,393.72, 6,590.22 and 1,471.96 is: 2,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.72 : 6,590.22 = 1,471.96 : x
  2. Step 2: Convert to fraction form
    4,393.72/6,590.22 = 1,471.96/x
  3. Step 3: Cross multiply
    4,393.72x = 6,590.22 × 1,471.96
  4. Step 4: Simplify right side
    4,393.72x = 9,700,540.23
  5. Step 5: Solve for x
    x = 9,700,540.23/4,393.72
  6. Step 6: Final answer
    x = 2,207.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.