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Finding the Fourth Proportional to 5,896.96, 8,829.82 and 4,721.44

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Solution

The fourth proportional to 5,896.96, 8,829.82 and 4,721.44 is: 7,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.96 : 8,829.82 = 4,721.44 : x
  2. Step 2: Convert to fraction form
    5,896.96/8,829.82 = 4,721.44/x
  3. Step 3: Cross multiply
    5,896.96x = 8,829.82 × 4,721.44
  4. Step 4: Simplify right side
    5,896.96x = 41,689,465.34
  5. Step 5: Solve for x
    x = 41,689,465.34/5,896.96
  6. Step 6: Final answer
    x = 7,069.65

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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.