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Finding the Fourth Proportional to 5,017.66, 7,525.77 and 2,095.42

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Solution

The fourth proportional to 5,017.66, 7,525.77 and 2,095.42 is: 3,142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,017.66 : 7,525.77 = 2,095.42 : x
  2. Step 2: Convert to fraction form
    5,017.66/7,525.77 = 2,095.42/x
  3. Step 3: Cross multiply
    5,017.66x = 7,525.77 × 2,095.42
  4. Step 4: Simplify right side
    5,017.66x = 15,769,648.97
  5. Step 5: Solve for x
    x = 15,769,648.97/5,017.66
  6. Step 6: Final answer
    x = 3,142.83

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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.