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Finding the Fourth Proportional to 4,591.34, 6,327.16 and 3,096.66

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Solution

The fourth proportional to 4,591.34, 6,327.16 and 3,096.66 is: 4,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,591.34 : 6,327.16 = 3,096.66 : x
  2. Step 2: Convert to fraction form
    4,591.34/6,327.16 = 3,096.66/x
  3. Step 3: Cross multiply
    4,591.34x = 6,327.16 × 3,096.66
  4. Step 4: Simplify right side
    4,591.34x = 19,593,070.00
  5. Step 5: Solve for x
    x = 19,593,070.00/4,591.34
  6. Step 6: Final answer
    x = 4,267.40

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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.