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Finding the Fourth Proportional to 5,340.68, 7,370.10 and 2,982.84

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Solution

The fourth proportional to 5,340.68, 7,370.10 and 2,982.84 is: 4,116.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.68 : 7,370.10 = 2,982.84 : x
  2. Step 2: Convert to fraction form
    5,340.68/7,370.10 = 2,982.84/x
  3. Step 3: Cross multiply
    5,340.68x = 7,370.10 × 2,982.84
  4. Step 4: Simplify right side
    5,340.68x = 21,983,829.08
  5. Step 5: Solve for x
    x = 21,983,829.08/5,340.68
  6. Step 6: Final answer
    x = 4,116.30

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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.