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Finding the Fourth Proportional to 3,653.61, 5,041.96 and 2,081.69

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Solution

The fourth proportional to 3,653.61, 5,041.96 and 2,081.69 is: 2,872.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.61 : 5,041.96 = 2,081.69 : x
  2. Step 2: Convert to fraction form
    3,653.61/5,041.96 = 2,081.69/x
  3. Step 3: Cross multiply
    3,653.61x = 5,041.96 × 2,081.69
  4. Step 4: Simplify right side
    3,653.61x = 10,495,797.71
  5. Step 5: Solve for x
    x = 10,495,797.71/3,653.61
  6. Step 6: Final answer
    x = 2,872.72

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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.