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Finding the Fourth Proportional to 5,780.88, 7,977.96 and 3,262.07

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Solution

The fourth proportional to 5,780.88, 7,977.96 and 3,262.07 is: 4,501.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.88 : 7,977.96 = 3,262.07 : x
  2. Step 2: Convert to fraction form
    5,780.88/7,977.96 = 3,262.07/x
  3. Step 3: Cross multiply
    5,780.88x = 7,977.96 × 3,262.07
  4. Step 4: Simplify right side
    5,780.88x = 26,024,624.09
  5. Step 5: Solve for x
    x = 26,024,624.09/5,780.88
  6. Step 6: Final answer
    x = 4,501.84

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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.