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Finding the Fourth Proportional to 5,378.14, 7,451.72 and 5,261.50

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Solution

The fourth proportional to 5,378.14, 7,451.72 and 5,261.50 is: 7,290.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.14 : 7,451.72 = 5,261.50 : x
  2. Step 2: Convert to fraction form
    5,378.14/7,451.72 = 5,261.50/x
  3. Step 3: Cross multiply
    5,378.14x = 7,451.72 × 5,261.50
  4. Step 4: Simplify right side
    5,378.14x = 39,207,224.78
  5. Step 5: Solve for x
    x = 39,207,224.78/5,378.14
  6. Step 6: Final answer
    x = 7,290.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.