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Finding the Fourth Proportional to 4,197.45, 6,295.19 and 1,856.18

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Solution

The fourth proportional to 4,197.45, 6,295.19 and 1,856.18 is: 2,783.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.45 : 6,295.19 = 1,856.18 : x
  2. Step 2: Convert to fraction form
    4,197.45/6,295.19 = 1,856.18/x
  3. Step 3: Cross multiply
    4,197.45x = 6,295.19 × 1,856.18
  4. Step 4: Simplify right side
    4,197.45x = 11,685,005.77
  5. Step 5: Solve for x
    x = 11,685,005.77/4,197.45
  6. Step 6: Final answer
    x = 2,783.83

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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.