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Finding the Fourth Proportional to 5,104.71, 7,622.49 and 4,052.91

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Solution

The fourth proportional to 5,104.71, 7,622.49 and 4,052.91 is: 6,051.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,104.71 : 7,622.49 = 4,052.91 : x
  2. Step 2: Convert to fraction form
    5,104.71/7,622.49 = 4,052.91/x
  3. Step 3: Cross multiply
    5,104.71x = 7,622.49 × 4,052.91
  4. Step 4: Simplify right side
    5,104.71x = 30,893,265.95
  5. Step 5: Solve for x
    x = 30,893,265.95/5,104.71
  6. Step 6: Final answer
    x = 6,051.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.