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Finding the Fourth Proportional to 5,306.49, 7,959.74 and 2,018.80

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Solution

The fourth proportional to 5,306.49, 7,959.74 and 2,018.80 is: 3,028.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.49 : 7,959.74 = 2,018.80 : x
  2. Step 2: Convert to fraction form
    5,306.49/7,959.74 = 2,018.80/x
  3. Step 3: Cross multiply
    5,306.49x = 7,959.74 × 2,018.80
  4. Step 4: Simplify right side
    5,306.49x = 16,069,123.11
  5. Step 5: Solve for x
    x = 16,069,123.11/5,306.49
  6. Step 6: Final answer
    x = 3,028.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.