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Finding the Fourth Proportional to 5,776.70, 7,971.82 and 3,507.26

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Solution

The fourth proportional to 5,776.70, 7,971.82 and 3,507.26 is: 4,840.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,776.70 : 7,971.82 = 3,507.26 : x
  2. Step 2: Convert to fraction form
    5,776.70/7,971.82 = 3,507.26/x
  3. Step 3: Cross multiply
    5,776.70x = 7,971.82 × 3,507.26
  4. Step 4: Simplify right side
    5,776.70x = 27,959,196.79
  5. Step 5: Solve for x
    x = 27,959,196.79/5,776.70
  6. Step 6: Final answer
    x = 4,840.00

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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.