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Finding the Fourth Proportional to 5,180.40, 7,136.40 and 3,851.76

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Solution

The fourth proportional to 5,180.40, 7,136.40 and 3,851.76 is: 5,306.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,180.40 : 7,136.40 = 3,851.76 : x
  2. Step 2: Convert to fraction form
    5,180.40/7,136.40 = 3,851.76/x
  3. Step 3: Cross multiply
    5,180.40x = 7,136.40 × 3,851.76
  4. Step 4: Simplify right side
    5,180.40x = 27,487,700.06
  5. Step 5: Solve for x
    x = 27,487,700.06/5,180.40
  6. Step 6: Final answer
    x = 5,306.10

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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.