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Finding the Fourth Proportional to 3,946.96, 5,922.48 and 2,715.40

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Solution

The fourth proportional to 3,946.96, 5,922.48 and 2,715.40 is: 4,074.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.96 : 5,922.48 = 2,715.40 : x
  2. Step 2: Convert to fraction form
    3,946.96/5,922.48 = 2,715.40/x
  3. Step 3: Cross multiply
    3,946.96x = 5,922.48 × 2,715.40
  4. Step 4: Simplify right side
    3,946.96x = 16,081,902.19
  5. Step 5: Solve for x
    x = 16,081,902.19/3,946.96
  6. Step 6: Final answer
    x = 4,074.50

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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.