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Finding the Fourth Proportional to 5,784.74, 7,983.68 and 3,267.50

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Solution

The fourth proportional to 5,784.74, 7,983.68 and 3,267.50 is: 4,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.74 : 7,983.68 = 3,267.50 : x
  2. Step 2: Convert to fraction form
    5,784.74/7,983.68 = 3,267.50/x
  3. Step 3: Cross multiply
    5,784.74x = 7,983.68 × 3,267.50
  4. Step 4: Simplify right side
    5,784.74x = 26,086,618.14
  5. Step 5: Solve for x
    x = 26,086,618.14/5,784.74
  6. Step 6: Final answer
    x = 4,509.56

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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.