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Finding the Fourth Proportional to 4,323.88, 6,487.34 and 2,134.16

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Solution

The fourth proportional to 4,323.88, 6,487.34 and 2,134.16 is: 3,201.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,323.88 : 6,487.34 = 2,134.16 : x
  2. Step 2: Convert to fraction form
    4,323.88/6,487.34 = 2,134.16/x
  3. Step 3: Cross multiply
    4,323.88x = 6,487.34 × 2,134.16
  4. Step 4: Simplify right side
    4,323.88x = 13,845,021.53
  5. Step 5: Solve for x
    x = 13,845,021.53/4,323.88
  6. Step 6: Final answer
    x = 3,201.99

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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.