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Finding the Fourth Proportional to 3,225.71, 4,827.62 and 2,498.54

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Solution

The fourth proportional to 3,225.71, 4,827.62 and 2,498.54 is: 3,739.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.71 : 4,827.62 = 2,498.54 : x
  2. Step 2: Convert to fraction form
    3,225.71/4,827.62 = 2,498.54/x
  3. Step 3: Cross multiply
    3,225.71x = 4,827.62 × 2,498.54
  4. Step 4: Simplify right side
    3,225.71x = 12,061,965.04
  5. Step 5: Solve for x
    x = 12,061,965.04/3,225.71
  6. Step 6: Final answer
    x = 3,739.33

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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.