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Finding the Fourth Proportional to 4,216.52, 6,319.92 and 2,264.63

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Solution

The fourth proportional to 4,216.52, 6,319.92 and 2,264.63 is: 3,394.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,216.52 : 6,319.92 = 2,264.63 : x
  2. Step 2: Convert to fraction form
    4,216.52/6,319.92 = 2,264.63/x
  3. Step 3: Cross multiply
    4,216.52x = 6,319.92 × 2,264.63
  4. Step 4: Simplify right side
    4,216.52x = 14,312,257.32
  5. Step 5: Solve for x
    x = 14,312,257.32/4,216.52
  6. Step 6: Final answer
    x = 3,394.33

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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.