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Finding the Fourth Proportional to 5,696.31, 8,516.39 and 4,828.52

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Solution

The fourth proportional to 5,696.31, 8,516.39 and 4,828.52 is: 7,218.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,696.31 : 8,516.39 = 4,828.52 : x
  2. Step 2: Convert to fraction form
    5,696.31/8,516.39 = 4,828.52/x
  3. Step 3: Cross multiply
    5,696.31x = 8,516.39 × 4,828.52
  4. Step 4: Simplify right side
    5,696.31x = 41,121,595.73
  5. Step 5: Solve for x
    x = 41,121,595.73/5,696.31
  6. Step 6: Final answer
    x = 7,218.99

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Why These Related Problems?

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