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Finding the Fourth Proportional to 5,259, 7,257.48 and 3,667.98

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Solution

The fourth proportional to 5,259, 7,257.48 and 3,667.98 is: 5,061.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259 : 7,257.48 = 3,667.98 : x
  2. Step 2: Convert to fraction form
    5,259/7,257.48 = 3,667.98/x
  3. Step 3: Cross multiply
    5,259x = 7,257.48 × 3,667.98
  4. Step 4: Simplify right side
    5,259x = 26,620,291.49
  5. Step 5: Solve for x
    x = 26,620,291.49/5,259
  6. Step 6: Final answer
    x = 5,061.85

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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.