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Finding the Fourth Proportional to 4,393.43, 6,590.45 and 1,471.76

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Solution

The fourth proportional to 4,393.43, 6,590.45 and 1,471.76 is: 2,207.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,393.43 : 6,590.45 = 1,471.76 : x
  2. Step 2: Convert to fraction form
    4,393.43/6,590.45 = 1,471.76/x
  3. Step 3: Cross multiply
    4,393.43x = 6,590.45 × 1,471.76
  4. Step 4: Simplify right side
    4,393.43x = 9,699,560.69
  5. Step 5: Solve for x
    x = 9,699,560.69/4,393.43
  6. Step 6: Final answer
    x = 2,207.74

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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.