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Finding the Fourth Proportional to 5,295.35, 7,315.19 and 4,231.72

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Solution

The fourth proportional to 5,295.35, 7,315.19 and 4,231.72 is: 5,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.35 : 7,315.19 = 4,231.72 : x
  2. Step 2: Convert to fraction form
    5,295.35/7,315.19 = 4,231.72/x
  3. Step 3: Cross multiply
    5,295.35x = 7,315.19 × 4,231.72
  4. Step 4: Simplify right side
    5,295.35x = 30,955,796.38
  5. Step 5: Solve for x
    x = 30,955,796.38/5,295.35
  6. Step 6: Final answer
    x = 5,845.84

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Why These Related Problems?

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