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Finding the Fourth Proportional to 5,329.98, 7,998.90 and 4,302.27

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Solution

The fourth proportional to 5,329.98, 7,998.90 and 4,302.27 is: 6,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.98 : 7,998.90 = 4,302.27 : x
  2. Step 2: Convert to fraction form
    5,329.98/7,998.90 = 4,302.27/x
  3. Step 3: Cross multiply
    5,329.98x = 7,998.90 × 4,302.27
  4. Step 4: Simplify right side
    5,329.98x = 34,413,427.50
  5. Step 5: Solve for x
    x = 34,413,427.50/5,329.98
  6. Step 6: Final answer
    x = 6,456.58

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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.