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Finding the Fourth Proportional to 5,847.66, 8,070 and 3,195.18

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Solution

The fourth proportional to 5,847.66, 8,070 and 3,195.18 is: 4,409.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.66 : 8,070 = 3,195.18 : x
  2. Step 2: Convert to fraction form
    5,847.66/8,070 = 3,195.18/x
  3. Step 3: Cross multiply
    5,847.66x = 8,070 × 3,195.18
  4. Step 4: Simplify right side
    5,847.66x = 25,785,102.60
  5. Step 5: Solve for x
    x = 25,785,102.60/5,847.66
  6. Step 6: Final answer
    x = 4,409.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.