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Finding the Fourth Proportional to 3,496.10, 5,244.15 and 1,641.93

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Solution

The fourth proportional to 3,496.10, 5,244.15 and 1,641.93 is: 2,462.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.10 : 5,244.15 = 1,641.93 : x
  2. Step 2: Convert to fraction form
    3,496.10/5,244.15 = 1,641.93/x
  3. Step 3: Cross multiply
    3,496.10x = 5,244.15 × 1,641.93
  4. Step 4: Simplify right side
    3,496.10x = 8,610,527.21
  5. Step 5: Solve for x
    x = 8,610,527.21/3,496.10
  6. Step 6: Final answer
    x = 2,462.90

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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.