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Finding the Fourth Proportional to 3,544.90, 5,313.92 and 1,985.66

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Solution

The fourth proportional to 3,544.90, 5,313.92 and 1,985.66 is: 2,976.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,544.90 : 5,313.92 = 1,985.66 : x
  2. Step 2: Convert to fraction form
    3,544.90/5,313.92 = 1,985.66/x
  3. Step 3: Cross multiply
    3,544.90x = 5,313.92 × 1,985.66
  4. Step 4: Simplify right side
    3,544.90x = 10,551,638.39
  5. Step 5: Solve for x
    x = 10,551,638.39/3,544.90
  6. Step 6: Final answer
    x = 2,976.57

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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.