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Finding the Fourth Proportional to 4,214.68, 6,310.98 and 3,339.16

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Solution

The fourth proportional to 4,214.68, 6,310.98 and 3,339.16 is: 4,999.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.68 : 6,310.98 = 3,339.16 : x
  2. Step 2: Convert to fraction form
    4,214.68/6,310.98 = 3,339.16/x
  3. Step 3: Cross multiply
    4,214.68x = 6,310.98 × 3,339.16
  4. Step 4: Simplify right side
    4,214.68x = 21,073,371.98
  5. Step 5: Solve for x
    x = 21,073,371.98/4,214.68
  6. Step 6: Final answer
    x = 4,999.99

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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.