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Finding the Fourth Proportional to 3,812.95, 5,261.68 and 2,134.35

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Solution

The fourth proportional to 3,812.95, 5,261.68 and 2,134.35 is: 2,945.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.95 : 5,261.68 = 2,134.35 : x
  2. Step 2: Convert to fraction form
    3,812.95/5,261.68 = 2,134.35/x
  3. Step 3: Cross multiply
    3,812.95x = 5,261.68 × 2,134.35
  4. Step 4: Simplify right side
    3,812.95x = 11,230,275.38
  5. Step 5: Solve for x
    x = 11,230,275.38/3,812.95
  6. Step 6: Final answer
    x = 2,945.30

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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.