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Finding the Fourth Proportional to 4,514.62, 6,771.76 and 1,592.86

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Solution

The fourth proportional to 4,514.62, 6,771.76 and 1,592.86 is: 2,389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.62 : 6,771.76 = 1,592.86 : x
  2. Step 2: Convert to fraction form
    4,514.62/6,771.76 = 1,592.86/x
  3. Step 3: Cross multiply
    4,514.62x = 6,771.76 × 1,592.86
  4. Step 4: Simplify right side
    4,514.62x = 10,786,465.63
  5. Step 5: Solve for x
    x = 10,786,465.63/4,514.62
  6. Step 6: Final answer
    x = 2,389.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.