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Finding the Fourth Proportional to 5,876.35, 8,812.35 and 4,120.46

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Solution

The fourth proportional to 5,876.35, 8,812.35 and 4,120.46 is: 6,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,876.35 : 8,812.35 = 4,120.46 : x
  2. Step 2: Convert to fraction form
    5,876.35/8,812.35 = 4,120.46/x
  3. Step 3: Cross multiply
    5,876.35x = 8,812.35 × 4,120.46
  4. Step 4: Simplify right side
    5,876.35x = 36,310,935.68
  5. Step 5: Solve for x
    x = 36,310,935.68/5,876.35
  6. Step 6: Final answer
    x = 6,179.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.