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Finding the Fourth Proportional to 5,415.65, 8,126.66 and 2,295.42

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Solution

The fourth proportional to 5,415.65, 8,126.66 and 2,295.42 is: 3,444.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,415.65 : 8,126.66 = 2,295.42 : x
  2. Step 2: Convert to fraction form
    5,415.65/8,126.66 = 2,295.42/x
  3. Step 3: Cross multiply
    5,415.65x = 8,126.66 × 2,295.42
  4. Step 4: Simplify right side
    5,415.65x = 18,654,086.42
  5. Step 5: Solve for x
    x = 18,654,086.42/5,415.65
  6. Step 6: Final answer
    x = 3,444.48

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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.