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Finding the Fourth Proportional to 5,302.92, 7,956.48 and 4,872.36

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Solution

The fourth proportional to 5,302.92, 7,956.48 and 4,872.36 is: 7,310.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.92 : 7,956.48 = 4,872.36 : x
  2. Step 2: Convert to fraction form
    5,302.92/7,956.48 = 4,872.36/x
  3. Step 3: Cross multiply
    5,302.92x = 7,956.48 × 4,872.36
  4. Step 4: Simplify right side
    5,302.92x = 38,766,834.89
  5. Step 5: Solve for x
    x = 38,766,834.89/5,302.92
  6. Step 6: Final answer
    x = 7,310.47

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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.