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Finding the Fourth Proportional to 5,824.72, 8,738.14 and 5,296.52

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Solution

The fourth proportional to 5,824.72, 8,738.14 and 5,296.52 is: 7,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.72 : 8,738.14 = 5,296.52 : x
  2. Step 2: Convert to fraction form
    5,824.72/8,738.14 = 5,296.52/x
  3. Step 3: Cross multiply
    5,824.72x = 8,738.14 × 5,296.52
  4. Step 4: Simplify right side
    5,824.72x = 46,281,733.27
  5. Step 5: Solve for x
    x = 46,281,733.27/5,824.72
  6. Step 6: Final answer
    x = 7,945.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.