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Finding the Fourth Proportional to 4,195.70, 6,295.35 and 2,143.70

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Solution

The fourth proportional to 4,195.70, 6,295.35 and 2,143.70 is: 3,216.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.70 : 6,295.35 = 2,143.70 : x
  2. Step 2: Convert to fraction form
    4,195.70/6,295.35 = 2,143.70/x
  3. Step 3: Cross multiply
    4,195.70x = 6,295.35 × 2,143.70
  4. Step 4: Simplify right side
    4,195.70x = 13,495,341.80
  5. Step 5: Solve for x
    x = 13,495,341.80/4,195.70
  6. Step 6: Final answer
    x = 3,216.47

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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.