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Finding the Fourth Proportional to 5,266.45, 7,264.96 and 3,923.47

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Solution

The fourth proportional to 5,266.45, 7,264.96 and 3,923.47 is: 5,412.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.45 : 7,264.96 = 3,923.47 : x
  2. Step 2: Convert to fraction form
    5,266.45/7,264.96 = 3,923.47/x
  3. Step 3: Cross multiply
    5,266.45x = 7,264.96 × 3,923.47
  4. Step 4: Simplify right side
    5,266.45x = 28,503,852.61
  5. Step 5: Solve for x
    x = 28,503,852.61/5,266.45
  6. Step 6: Final answer
    x = 5,412.35

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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.