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Finding the Fourth Proportional to 3,552.76, 5,326.09 and 1,991.49

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Solution

The fourth proportional to 3,552.76, 5,326.09 and 1,991.49 is: 2,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,552.76 : 5,326.09 = 1,991.49 : x
  2. Step 2: Convert to fraction form
    3,552.76/5,326.09 = 1,991.49/x
  3. Step 3: Cross multiply
    3,552.76x = 5,326.09 × 1,991.49
  4. Step 4: Simplify right side
    3,552.76x = 10,606,830.02
  5. Step 5: Solve for x
    x = 10,606,830.02/3,552.76
  6. Step 6: Final answer
    x = 2,985.52

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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.