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Finding the Fourth Proportional to 5,774.88, 7,961.04 and 4,116

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Solution

The fourth proportional to 5,774.88, 7,961.04 and 4,116 is: 5,674.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.88 : 7,961.04 = 4,116 : x
  2. Step 2: Convert to fraction form
    5,774.88/7,961.04 = 4,116/x
  3. Step 3: Cross multiply
    5,774.88x = 7,961.04 × 4,116
  4. Step 4: Simplify right side
    5,774.88x = 32,767,640.64
  5. Step 5: Solve for x
    x = 32,767,640.64/5,774.88
  6. Step 6: Final answer
    x = 5,674.17

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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.