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Finding the Fourth Proportional to 3,465.90, 5,195.48 and 1,983.60

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Solution

The fourth proportional to 3,465.90, 5,195.48 and 1,983.60 is: 2,973.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,465.90 : 5,195.48 = 1,983.60 : x
  2. Step 2: Convert to fraction form
    3,465.90/5,195.48 = 1,983.60/x
  3. Step 3: Cross multiply
    3,465.90x = 5,195.48 × 1,983.60
  4. Step 4: Simplify right side
    3,465.90x = 10,305,744.21
  5. Step 5: Solve for x
    x = 10,305,744.21/3,465.90
  6. Step 6: Final answer
    x = 2,973.47

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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.