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Finding the Fourth Proportional to 4,754.39, 7,133.64 and 1,834.75

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Solution

The fourth proportional to 4,754.39, 7,133.64 and 1,834.75 is: 2,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.39 : 7,133.64 = 1,834.75 : x
  2. Step 2: Convert to fraction form
    4,754.39/7,133.64 = 1,834.75/x
  3. Step 3: Cross multiply
    4,754.39x = 7,133.64 × 1,834.75
  4. Step 4: Simplify right side
    4,754.39x = 13,088,428.16
  5. Step 5: Solve for x
    x = 13,088,428.16/4,754.39
  6. Step 6: Final answer
    x = 2,752.91

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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.