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Finding the Fourth Proportional to 5,175.98, 7,758.91 and 2,054.94

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Solution

The fourth proportional to 5,175.98, 7,758.91 and 2,054.94 is: 3,080.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.98 : 7,758.91 = 2,054.94 : x
  2. Step 2: Convert to fraction form
    5,175.98/7,758.91 = 2,054.94/x
  3. Step 3: Cross multiply
    5,175.98x = 7,758.91 × 2,054.94
  4. Step 4: Simplify right side
    5,175.98x = 15,944,094.52
  5. Step 5: Solve for x
    x = 15,944,094.52/5,175.98
  6. Step 6: Final answer
    x = 3,080.40

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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.