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Finding the Fourth Proportional to 5,319.14, 7,982.36 and 1,856.39

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Solution

The fourth proportional to 5,319.14, 7,982.36 and 1,856.39 is: 2,785.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,319.14 : 7,982.36 = 1,856.39 : x
  2. Step 2: Convert to fraction form
    5,319.14/7,982.36 = 1,856.39/x
  3. Step 3: Cross multiply
    5,319.14x = 7,982.36 × 1,856.39
  4. Step 4: Simplify right side
    5,319.14x = 14,818,373.28
  5. Step 5: Solve for x
    x = 14,818,373.28/5,319.14
  6. Step 6: Final answer
    x = 2,785.86

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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.