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Finding the Fourth Proportional to 3,609.96, 4,981.86 and 2,038.08

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Solution

The fourth proportional to 3,609.96, 4,981.86 and 2,038.08 is: 2,812.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.96 : 4,981.86 = 2,038.08 : x
  2. Step 2: Convert to fraction form
    3,609.96/4,981.86 = 2,038.08/x
  3. Step 3: Cross multiply
    3,609.96x = 4,981.86 × 2,038.08
  4. Step 4: Simplify right side
    3,609.96x = 10,153,429.23
  5. Step 5: Solve for x
    x = 10,153,429.23/3,609.96
  6. Step 6: Final answer
    x = 2,812.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.