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Finding the Fourth Proportional to 5,871.02, 8,102.04 and 3,512.58

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Solution

The fourth proportional to 5,871.02, 8,102.04 and 3,512.58 is: 4,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,871.02 : 8,102.04 = 3,512.58 : x
  2. Step 2: Convert to fraction form
    5,871.02/8,102.04 = 3,512.58/x
  3. Step 3: Cross multiply
    5,871.02x = 8,102.04 × 3,512.58
  4. Step 4: Simplify right side
    5,871.02x = 28,459,063.66
  5. Step 5: Solve for x
    x = 28,459,063.66/5,871.02
  6. Step 6: Final answer
    x = 4,847.38

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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.