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Finding the Fourth Proportional to 4,336.44, 6,502.94 and 1,562.14

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Solution

The fourth proportional to 4,336.44, 6,502.94 and 1,562.14 is: 2,342.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,336.44 : 6,502.94 = 1,562.14 : x
  2. Step 2: Convert to fraction form
    4,336.44/6,502.94 = 1,562.14/x
  3. Step 3: Cross multiply
    4,336.44x = 6,502.94 × 1,562.14
  4. Step 4: Simplify right side
    4,336.44x = 10,158,508.87
  5. Step 5: Solve for x
    x = 10,158,508.87/4,336.44
  6. Step 6: Final answer
    x = 2,342.59

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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.