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Finding the Fourth Proportional to 4,645.79, 6,956.13 and 3,403.79

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Solution

The fourth proportional to 4,645.79, 6,956.13 and 3,403.79 is: 5,096.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,645.79 : 6,956.13 = 3,403.79 : x
  2. Step 2: Convert to fraction form
    4,645.79/6,956.13 = 3,403.79/x
  3. Step 3: Cross multiply
    4,645.79x = 6,956.13 × 3,403.79
  4. Step 4: Simplify right side
    4,645.79x = 23,677,205.73
  5. Step 5: Solve for x
    x = 23,677,205.73/4,645.79
  6. Step 6: Final answer
    x = 5,096.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.