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Finding the Fourth Proportional to 5,261.82, 7,261.02 and 2,903.82

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Solution

The fourth proportional to 5,261.82, 7,261.02 and 2,903.82 is: 4,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.82 : 7,261.02 = 2,903.82 : x
  2. Step 2: Convert to fraction form
    5,261.82/7,261.02 = 2,903.82/x
  3. Step 3: Cross multiply
    5,261.82x = 7,261.02 × 2,903.82
  4. Step 4: Simplify right side
    5,261.82x = 21,084,695.10
  5. Step 5: Solve for x
    x = 21,084,695.10/5,261.82
  6. Step 6: Final answer
    x = 4,007.11

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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.