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Finding the Fourth Proportional to 5,396.14, 7,491.46 and 5,235.76

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Solution

The fourth proportional to 5,396.14, 7,491.46 and 5,235.76 is: 7,268.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,396.14 : 7,491.46 = 5,235.76 : x
  2. Step 2: Convert to fraction form
    5,396.14/7,491.46 = 5,235.76/x
  3. Step 3: Cross multiply
    5,396.14x = 7,491.46 × 5,235.76
  4. Step 4: Simplify right side
    5,396.14x = 39,223,486.61
  5. Step 5: Solve for x
    x = 39,223,486.61/5,396.14
  6. Step 6: Final answer
    x = 7,268.80

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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.