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Finding the Fourth Proportional to 4,754.58, 7,133.92 and 1,834.94

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Solution

The fourth proportional to 4,754.58, 7,133.92 and 1,834.94 is: 2,753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,754.58 : 7,133.92 = 1,834.94 : x
  2. Step 2: Convert to fraction form
    4,754.58/7,133.92 = 1,834.94/x
  3. Step 3: Cross multiply
    4,754.58x = 7,133.92 × 1,834.94
  4. Step 4: Simplify right side
    4,754.58x = 13,090,274.91
  5. Step 5: Solve for x
    x = 13,090,274.91/4,754.58
  6. Step 6: Final answer
    x = 2,753.19

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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.