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Finding the Fourth Proportional to 4,922.16, 7,364.52 and 2,732.64

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Solution

The fourth proportional to 4,922.16, 7,364.52 and 2,732.64 is: 4,088.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.16 : 7,364.52 = 2,732.64 : x
  2. Step 2: Convert to fraction form
    4,922.16/7,364.52 = 2,732.64/x
  3. Step 3: Cross multiply
    4,922.16x = 7,364.52 × 2,732.64
  4. Step 4: Simplify right side
    4,922.16x = 20,124,581.93
  5. Step 5: Solve for x
    x = 20,124,581.93/4,922.16
  6. Step 6: Final answer
    x = 4,088.57

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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.