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Finding the Fourth Proportional to 6,302.34, 9,452.90 and 1,919.84

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Solution

The fourth proportional to 6,302.34, 9,452.90 and 1,919.84 is: 2,879.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,302.34 : 9,452.90 = 1,919.84 : x
  2. Step 2: Convert to fraction form
    6,302.34/9,452.90 = 1,919.84/x
  3. Step 3: Cross multiply
    6,302.34x = 9,452.90 × 1,919.84
  4. Step 4: Simplify right side
    6,302.34x = 18,148,013.07
  5. Step 5: Solve for x
    x = 18,148,013.07/6,302.34
  6. Step 6: Final answer
    x = 2,879.57

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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.