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Finding the Fourth Proportional to 5,780.99, 7,975.78 and 3,262.79

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Solution

The fourth proportional to 5,780.99, 7,975.78 and 3,262.79 is: 4,501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.99 : 7,975.78 = 3,262.79 : x
  2. Step 2: Convert to fraction form
    5,780.99/7,975.78 = 3,262.79/x
  3. Step 3: Cross multiply
    5,780.99x = 7,975.78 × 3,262.79
  4. Step 4: Simplify right side
    5,780.99x = 26,023,295.23
  5. Step 5: Solve for x
    x = 26,023,295.23/5,780.99
  6. Step 6: Final answer
    x = 4,501.53

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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.