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Finding the Fourth Proportional to 5,175.30, 7,763.07 and 1,888.39

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Solution

The fourth proportional to 5,175.30, 7,763.07 and 1,888.39 is: 2,832.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.30 : 7,763.07 = 1,888.39 : x
  2. Step 2: Convert to fraction form
    5,175.30/7,763.07 = 1,888.39/x
  3. Step 3: Cross multiply
    5,175.30x = 7,763.07 × 1,888.39
  4. Step 4: Simplify right side
    5,175.30x = 14,659,695.17
  5. Step 5: Solve for x
    x = 14,659,695.17/5,175.30
  6. Step 6: Final answer
    x = 2,832.63

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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.