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Finding the Fourth Proportional to 5,329.69, 7,998.45 and 4,302

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Solution

The fourth proportional to 5,329.69, 7,998.45 and 4,302 is: 6,456.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.69 : 7,998.45 = 4,302 : x
  2. Step 2: Convert to fraction form
    5,329.69/7,998.45 = 4,302/x
  3. Step 3: Cross multiply
    5,329.69x = 7,998.45 × 4,302
  4. Step 4: Simplify right side
    5,329.69x = 34,409,331.90
  5. Step 5: Solve for x
    x = 34,409,331.90/5,329.69
  6. Step 6: Final answer
    x = 6,456.16

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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.