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Finding the Fourth Proportional to 4,305.35, 6,458.79 and 2,224.78

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Solution

The fourth proportional to 4,305.35, 6,458.79 and 2,224.78 is: 3,337.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.35 : 6,458.79 = 2,224.78 : x
  2. Step 2: Convert to fraction form
    4,305.35/6,458.79 = 2,224.78/x
  3. Step 3: Cross multiply
    4,305.35x = 6,458.79 × 2,224.78
  4. Step 4: Simplify right side
    4,305.35x = 14,369,386.82
  5. Step 5: Solve for x
    x = 14,369,386.82/4,305.35
  6. Step 6: Final answer
    x = 3,337.57

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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.