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Finding the Fourth Proportional to 5,848.35, 8,070.84 and 3,195.87

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Solution

The fourth proportional to 5,848.35, 8,070.84 and 3,195.87 is: 4,410.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,848.35 : 8,070.84 = 3,195.87 : x
  2. Step 2: Convert to fraction form
    5,848.35/8,070.84 = 3,195.87/x
  3. Step 3: Cross multiply
    5,848.35x = 8,070.84 × 3,195.87
  4. Step 4: Simplify right side
    5,848.35x = 25,793,355.43
  5. Step 5: Solve for x
    x = 25,793,355.43/5,848.35
  6. Step 6: Final answer
    x = 4,410.36

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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.