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Finding the Fourth Proportional to 3,814.56, 5,722.98 and 1,594.46

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Solution

The fourth proportional to 3,814.56, 5,722.98 and 1,594.46 is: 2,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,814.56 : 5,722.98 = 1,594.46 : x
  2. Step 2: Convert to fraction form
    3,814.56/5,722.98 = 1,594.46/x
  3. Step 3: Cross multiply
    3,814.56x = 5,722.98 × 1,594.46
  4. Step 4: Simplify right side
    3,814.56x = 9,125,062.69
  5. Step 5: Solve for x
    x = 9,125,062.69/3,814.56
  6. Step 6: Final answer
    x = 2,392.17

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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.