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Finding the Fourth Proportional to 5,780.99, 7,977.72 and 3,128.33

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Solution

The fourth proportional to 5,780.99, 7,977.72 and 3,128.33 is: 4,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.99 : 7,977.72 = 3,128.33 : x
  2. Step 2: Convert to fraction form
    5,780.99/7,977.72 = 3,128.33/x
  3. Step 3: Cross multiply
    5,780.99x = 7,977.72 × 3,128.33
  4. Step 4: Simplify right side
    5,780.99x = 24,956,900.92
  5. Step 5: Solve for x
    x = 24,956,900.92/5,780.99
  6. Step 6: Final answer
    x = 4,317.07

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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.