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Finding the Fourth Proportional to 5,180, 7,148.40 and 2,972

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Solution

The fourth proportional to 5,180, 7,148.40 and 2,972 is: 4,101.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180 : 7,148.40 = 2,972 : x
  2. Step 2: Convert to fraction form
    5,180/7,148.40 = 2,972/x
  3. Step 3: Cross multiply
    5,180x = 7,148.40 × 2,972
  4. Step 4: Simplify right side
    5,180x = 21,245,044.80
  5. Step 5: Solve for x
    x = 21,245,044.80/5,180
  6. Step 6: Final answer
    x = 4,101.36

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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.