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Finding the Fourth Proportional to 4,321.34, 5,963.34 and 2,407.14

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Solution

The fourth proportional to 4,321.34, 5,963.34 and 2,407.14 is: 3,321.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,321.34 : 5,963.34 = 2,407.14 : x
  2. Step 2: Convert to fraction form
    4,321.34/5,963.34 = 2,407.14/x
  3. Step 3: Cross multiply
    4,321.34x = 5,963.34 × 2,407.14
  4. Step 4: Simplify right side
    4,321.34x = 14,354,594.25
  5. Step 5: Solve for x
    x = 14,354,594.25/4,321.34
  6. Step 6: Final answer
    x = 3,321.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.