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Finding the Fourth Proportional to 3,653.47, 5,041.78 and 1,997.47

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Solution

The fourth proportional to 3,653.47, 5,041.78 and 1,997.47 is: 2,756.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,653.47 : 5,041.78 = 1,997.47 : x
  2. Step 2: Convert to fraction form
    3,653.47/5,041.78 = 1,997.47/x
  3. Step 3: Cross multiply
    3,653.47x = 5,041.78 × 1,997.47
  4. Step 4: Simplify right side
    3,653.47x = 10,070,804.30
  5. Step 5: Solve for x
    x = 10,070,804.30/3,653.47
  6. Step 6: Final answer
    x = 2,756.50

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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.