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Finding the Fourth Proportional to 5,175.84, 7,758.40 and 2,709.44

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Solution

The fourth proportional to 5,175.84, 7,758.40 and 2,709.44 is: 4,061.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.84 : 7,758.40 = 2,709.44 : x
  2. Step 2: Convert to fraction form
    5,175.84/7,758.40 = 2,709.44/x
  3. Step 3: Cross multiply
    5,175.84x = 7,758.40 × 2,709.44
  4. Step 4: Simplify right side
    5,175.84x = 21,020,919.30
  5. Step 5: Solve for x
    x = 21,020,919.30/5,175.84
  6. Step 6: Final answer
    x = 4,061.35

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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.