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Finding the Fourth Proportional to 5,343.80, 7,374.74 and 2,986

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Solution

The fourth proportional to 5,343.80, 7,374.74 and 2,986 is: 4,120.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,343.80 : 7,374.74 = 2,986 : x
  2. Step 2: Convert to fraction form
    5,343.80/7,374.74 = 2,986/x
  3. Step 3: Cross multiply
    5,343.80x = 7,374.74 × 2,986
  4. Step 4: Simplify right side
    5,343.80x = 22,020,973.64
  5. Step 5: Solve for x
    x = 22,020,973.64/5,343.80
  6. Step 6: Final answer
    x = 4,120.85

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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.