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Finding the Fourth Proportional to 4,956.36, 7,434.16 and 1,834.90

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Solution

The fourth proportional to 4,956.36, 7,434.16 and 1,834.90 is: 2,752.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,956.36 : 7,434.16 = 1,834.90 : x
  2. Step 2: Convert to fraction form
    4,956.36/7,434.16 = 1,834.90/x
  3. Step 3: Cross multiply
    4,956.36x = 7,434.16 × 1,834.90
  4. Step 4: Simplify right side
    4,956.36x = 13,640,935.60
  5. Step 5: Solve for x
    x = 13,640,935.60/4,956.36
  6. Step 6: Final answer
    x = 2,752.21

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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.