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Finding the Fourth Proportional to 5,270.61, 7,902.07 and 3,046.31

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Solution

The fourth proportional to 5,270.61, 7,902.07 and 3,046.31 is: 4,567.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,270.61 : 7,902.07 = 3,046.31 : x
  2. Step 2: Convert to fraction form
    5,270.61/7,902.07 = 3,046.31/x
  3. Step 3: Cross multiply
    5,270.61x = 7,902.07 × 3,046.31
  4. Step 4: Simplify right side
    5,270.61x = 24,072,115.35
  5. Step 5: Solve for x
    x = 24,072,115.35/5,270.61
  6. Step 6: Final answer
    x = 4,567.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.