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Finding the Fourth Proportional to 5,319.77, 7,983.29 and 1,857.02

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Solution

The fourth proportional to 5,319.77, 7,983.29 and 1,857.02 is: 2,786.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.77 : 7,983.29 = 1,857.02 : x
  2. Step 2: Convert to fraction form
    5,319.77/7,983.29 = 1,857.02/x
  3. Step 3: Cross multiply
    5,319.77x = 7,983.29 × 1,857.02
  4. Step 4: Simplify right side
    5,319.77x = 14,825,129.20
  5. Step 5: Solve for x
    x = 14,825,129.20/5,319.77
  6. Step 6: Final answer
    x = 2,786.80

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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.