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Finding the Fourth Proportional to 5,319.89, 7,983.47 and 1,857.14

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Solution

The fourth proportional to 5,319.89, 7,983.47 and 1,857.14 is: 2,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.89 : 7,983.47 = 1,857.14 : x
  2. Step 2: Convert to fraction form
    5,319.89/7,983.47 = 1,857.14/x
  3. Step 3: Cross multiply
    5,319.89x = 7,983.47 × 1,857.14
  4. Step 4: Simplify right side
    5,319.89x = 14,826,412.19
  5. Step 5: Solve for x
    x = 14,826,412.19/5,319.89
  6. Step 6: Final answer
    x = 2,786.98

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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.