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Finding the Fourth Proportional to 5,855.95, 8,083.62 and 3,970.12

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Solution

The fourth proportional to 5,855.95, 8,083.62 and 3,970.12 is: 5,480.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.95 : 8,083.62 = 3,970.12 : x
  2. Step 2: Convert to fraction form
    5,855.95/8,083.62 = 3,970.12/x
  3. Step 3: Cross multiply
    5,855.95x = 8,083.62 × 3,970.12
  4. Step 4: Simplify right side
    5,855.95x = 32,092,881.17
  5. Step 5: Solve for x
    x = 32,092,881.17/5,855.95
  6. Step 6: Final answer
    x = 5,480.39

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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.