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Finding the Fourth Proportional to 3,633.66, 5,443.54 and 2,457.89

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Solution

The fourth proportional to 3,633.66, 5,443.54 and 2,457.89 is: 3,682.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.66 : 5,443.54 = 2,457.89 : x
  2. Step 2: Convert to fraction form
    3,633.66/5,443.54 = 2,457.89/x
  3. Step 3: Cross multiply
    3,633.66x = 5,443.54 × 2,457.89
  4. Step 4: Simplify right side
    3,633.66x = 13,379,609.58
  5. Step 5: Solve for x
    x = 13,379,609.58/3,633.66
  6. Step 6: Final answer
    x = 3,682.13

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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.