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Finding the Fourth Proportional to 5,336.24, 7,367.47 and 4,775.74

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Solution

The fourth proportional to 5,336.24, 7,367.47 and 4,775.74 is: 6,593.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,336.24 : 7,367.47 = 4,775.74 : x
  2. Step 2: Convert to fraction form
    5,336.24/7,367.47 = 4,775.74/x
  3. Step 3: Cross multiply
    5,336.24x = 7,367.47 × 4,775.74
  4. Step 4: Simplify right side
    5,336.24x = 35,185,121.18
  5. Step 5: Solve for x
    x = 35,185,121.18/5,336.24
  6. Step 6: Final answer
    x = 6,593.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.