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Finding the Fourth Proportional to 3,834.09, 5,746.10 and 1,522.89

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Solution

The fourth proportional to 3,834.09, 5,746.10 and 1,522.89 is: 2,282.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,834.09 : 5,746.10 = 1,522.89 : x
  2. Step 2: Convert to fraction form
    3,834.09/5,746.10 = 1,522.89/x
  3. Step 3: Cross multiply
    3,834.09x = 5,746.10 × 1,522.89
  4. Step 4: Simplify right side
    3,834.09x = 8,750,670.61
  5. Step 5: Solve for x
    x = 8,750,670.61/3,834.09
  6. Step 6: Final answer
    x = 2,282.33

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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.