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Finding the Fourth Proportional to 4,215.63, 6,323.44 and 2,342.71

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Solution

The fourth proportional to 4,215.63, 6,323.44 and 2,342.71 is: 3,514.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,215.63 : 6,323.44 = 2,342.71 : x
  2. Step 2: Convert to fraction form
    4,215.63/6,323.44 = 2,342.71/x
  3. Step 3: Cross multiply
    4,215.63x = 6,323.44 × 2,342.71
  4. Step 4: Simplify right side
    4,215.63x = 14,813,986.12
  5. Step 5: Solve for x
    x = 14,813,986.12/4,215.63
  6. Step 6: Final answer
    x = 3,514.06

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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.