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Finding the Fourth Proportional to 5,164.16, 7,108.16 and 4,315.55

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Solution

The fourth proportional to 5,164.16, 7,108.16 and 4,315.55 is: 5,940.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,164.16 : 7,108.16 = 4,315.55 : x
  2. Step 2: Convert to fraction form
    5,164.16/7,108.16 = 4,315.55/x
  3. Step 3: Cross multiply
    5,164.16x = 7,108.16 × 4,315.55
  4. Step 4: Simplify right side
    5,164.16x = 30,675,562.77
  5. Step 5: Solve for x
    x = 30,675,562.77/5,164.16
  6. Step 6: Final answer
    x = 5,940.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.