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Finding the Fourth Proportional to 5,340.72, 7,370.52 and 2,983

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Solution

The fourth proportional to 5,340.72, 7,370.52 and 2,983 is: 4,116.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,340.72 : 7,370.52 = 2,983 : x
  2. Step 2: Convert to fraction form
    5,340.72/7,370.52 = 2,983/x
  3. Step 3: Cross multiply
    5,340.72x = 7,370.52 × 2,983
  4. Step 4: Simplify right side
    5,340.72x = 21,986,261.16
  5. Step 5: Solve for x
    x = 21,986,261.16/5,340.72
  6. Step 6: Final answer
    x = 4,116.72

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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.