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Finding the Fourth Proportional to 4,197.66, 6,295.15 and 1,385.87

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Solution

The fourth proportional to 4,197.66, 6,295.15 and 1,385.87 is: 2,078.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.66 : 6,295.15 = 1,385.87 : x
  2. Step 2: Convert to fraction form
    4,197.66/6,295.15 = 1,385.87/x
  3. Step 3: Cross multiply
    4,197.66x = 6,295.15 × 1,385.87
  4. Step 4: Simplify right side
    4,197.66x = 8,724,259.53
  5. Step 5: Solve for x
    x = 8,724,259.53/4,197.66
  6. Step 6: Final answer
    x = 2,078.36

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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.