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Finding the Fourth Proportional to 3,769.06, 5,656.62 and 2,127.19

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Solution

The fourth proportional to 3,769.06, 5,656.62 and 2,127.19 is: 3,192.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.06 : 5,656.62 = 2,127.19 : x
  2. Step 2: Convert to fraction form
    3,769.06/5,656.62 = 2,127.19/x
  3. Step 3: Cross multiply
    3,769.06x = 5,656.62 × 2,127.19
  4. Step 4: Simplify right side
    3,769.06x = 12,032,705.50
  5. Step 5: Solve for x
    x = 12,032,705.50/3,769.06
  6. Step 6: Final answer
    x = 3,192.50

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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.