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Finding the Fourth Proportional to 5,034.98, 7,549.49 and 1,523.93

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Solution

The fourth proportional to 5,034.98, 7,549.49 and 1,523.93 is: 2,284.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.98 : 7,549.49 = 1,523.93 : x
  2. Step 2: Convert to fraction form
    5,034.98/7,549.49 = 1,523.93/x
  3. Step 3: Cross multiply
    5,034.98x = 7,549.49 × 1,523.93
  4. Step 4: Simplify right side
    5,034.98x = 11,504,860.36
  5. Step 5: Solve for x
    x = 11,504,860.36/5,034.98
  6. Step 6: Final answer
    x = 2,284.99

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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.