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Finding the Fourth Proportional to 5,034.94, 7,553.77 and 1,525.06

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Solution

The fourth proportional to 5,034.94, 7,553.77 and 1,525.06 is: 2,288.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,034.94 : 7,553.77 = 1,525.06 : x
  2. Step 2: Convert to fraction form
    5,034.94/7,553.77 = 1,525.06/x
  3. Step 3: Cross multiply
    5,034.94x = 7,553.77 × 1,525.06
  4. Step 4: Simplify right side
    5,034.94x = 11,519,952.48
  5. Step 5: Solve for x
    x = 11,519,952.48/5,034.94
  6. Step 6: Final answer
    x = 2,288.00

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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.