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Finding the Fourth Proportional to 3,653.47, 5,041.88 and 2,081.53

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Solution

The fourth proportional to 3,653.47, 5,041.88 and 2,081.53 is: 2,872.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.47 : 5,041.88 = 2,081.53 : x
  2. Step 2: Convert to fraction form
    3,653.47/5,041.88 = 2,081.53/x
  3. Step 3: Cross multiply
    3,653.47x = 5,041.88 × 2,081.53
  4. Step 4: Simplify right side
    3,653.47x = 10,494,824.48
  5. Step 5: Solve for x
    x = 10,494,824.48/3,653.47
  6. Step 6: Final answer
    x = 2,872.56

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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.