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Finding the Fourth Proportional to 5,302, 7,951 and 4,259.44

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Solution

The fourth proportional to 5,302, 7,951 and 4,259.44 is: 6,387.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302 : 7,951 = 4,259.44 : x
  2. Step 2: Convert to fraction form
    5,302/7,951 = 4,259.44/x
  3. Step 3: Cross multiply
    5,302x = 7,951 × 4,259.44
  4. Step 4: Simplify right side
    5,302x = 33,866,807.44
  5. Step 5: Solve for x
    x = 33,866,807.44/5,302
  6. Step 6: Final answer
    x = 6,387.55

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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.