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Finding the Fourth Proportional to 4,302.83, 6,460.22 and 2,224.37

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Solution

The fourth proportional to 4,302.83, 6,460.22 and 2,224.37 is: 3,339.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302.83 : 6,460.22 = 2,224.37 : x
  2. Step 2: Convert to fraction form
    4,302.83/6,460.22 = 2,224.37/x
  3. Step 3: Cross multiply
    4,302.83x = 6,460.22 × 2,224.37
  4. Step 4: Simplify right side
    4,302.83x = 14,369,919.56
  5. Step 5: Solve for x
    x = 14,369,919.56/4,302.83
  6. Step 6: Final answer
    x = 3,339.64

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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.