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Finding the Fourth Proportional to 5,848.71, 8,070.87 and 3,195.96

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Solution

The fourth proportional to 5,848.71, 8,070.87 and 3,195.96 is: 4,410.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.71 : 8,070.87 = 3,195.96 : x
  2. Step 2: Convert to fraction form
    5,848.71/8,070.87 = 3,195.96/x
  3. Step 3: Cross multiply
    5,848.71x = 8,070.87 × 3,195.96
  4. Step 4: Simplify right side
    5,848.71x = 25,794,177.69
  5. Step 5: Solve for x
    x = 25,794,177.69/5,848.71
  6. Step 6: Final answer
    x = 4,410.23

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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.