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Finding the Fourth Proportional to 3,973.80, 5,483.12 and 2,976.96

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Solution

The fourth proportional to 3,973.80, 5,483.12 and 2,976.96 is: 4,107.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.80 : 5,483.12 = 2,976.96 : x
  2. Step 2: Convert to fraction form
    3,973.80/5,483.12 = 2,976.96/x
  3. Step 3: Cross multiply
    3,973.80x = 5,483.12 × 2,976.96
  4. Step 4: Simplify right side
    3,973.80x = 16,323,014.03
  5. Step 5: Solve for x
    x = 16,323,014.03/3,973.80
  6. Step 6: Final answer
    x = 4,107.66

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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.