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Finding the Fourth Proportional to 5,296.56, 7,302.15 and 4,099.41

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Solution

The fourth proportional to 5,296.56, 7,302.15 and 4,099.41 is: 5,651.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.56 : 7,302.15 = 4,099.41 : x
  2. Step 2: Convert to fraction form
    5,296.56/7,302.15 = 4,099.41/x
  3. Step 3: Cross multiply
    5,296.56x = 7,302.15 × 4,099.41
  4. Step 4: Simplify right side
    5,296.56x = 29,934,506.73
  5. Step 5: Solve for x
    x = 29,934,506.73/5,296.56
  6. Step 6: Final answer
    x = 5,651.68

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1.5x scale

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.