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Finding the Fourth Proportional to 3,744.59, 5,617.91 and 1,636.40

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Solution

The fourth proportional to 3,744.59, 5,617.91 and 1,636.40 is: 2,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.59 : 5,617.91 = 1,636.40 : x
  2. Step 2: Convert to fraction form
    3,744.59/5,617.91 = 1,636.40/x
  3. Step 3: Cross multiply
    3,744.59x = 5,617.91 × 1,636.40
  4. Step 4: Simplify right side
    3,744.59x = 9,193,111.65
  5. Step 5: Solve for x
    x = 9,193,111.65/3,744.59
  6. Step 6: Final answer
    x = 2,455.04

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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.