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Finding the Fourth Proportional to 4,571.43, 6,308.82 and 2,582.07

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Solution

The fourth proportional to 4,571.43, 6,308.82 and 2,582.07 is: 3,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.43 : 6,308.82 = 2,582.07 : x
  2. Step 2: Convert to fraction form
    4,571.43/6,308.82 = 2,582.07/x
  3. Step 3: Cross multiply
    4,571.43x = 6,308.82 × 2,582.07
  4. Step 4: Simplify right side
    4,571.43x = 16,289,814.86
  5. Step 5: Solve for x
    x = 16,289,814.86/4,571.43
  6. Step 6: Final answer
    x = 3,563.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.