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Finding the Fourth Proportional to 5,338.49, 8,008.74 and 2,416.80

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Solution

The fourth proportional to 5,338.49, 8,008.74 and 2,416.80 is: 3,625.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,338.49 : 8,008.74 = 2,416.80 : x
  2. Step 2: Convert to fraction form
    5,338.49/8,008.74 = 2,416.80/x
  3. Step 3: Cross multiply
    5,338.49x = 8,008.74 × 2,416.80
  4. Step 4: Simplify right side
    5,338.49x = 19,355,522.83
  5. Step 5: Solve for x
    x = 19,355,522.83/5,338.49
  6. Step 6: Final answer
    x = 3,625.66

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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.