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Finding the Fourth Proportional to 5,366.34, 8,049.87 and 1,856.70

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Solution

The fourth proportional to 5,366.34, 8,049.87 and 1,856.70 is: 2,785.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,366.34 : 8,049.87 = 1,856.70 : x
  2. Step 2: Convert to fraction form
    5,366.34/8,049.87 = 1,856.70/x
  3. Step 3: Cross multiply
    5,366.34x = 8,049.87 × 1,856.70
  4. Step 4: Simplify right side
    5,366.34x = 14,946,193.63
  5. Step 5: Solve for x
    x = 14,946,193.63/5,366.34
  6. Step 6: Final answer
    x = 2,785.17

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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.