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Finding the Fourth Proportional to 4,575.86, 6,875.49 and 4,310.27

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Solution

The fourth proportional to 4,575.86, 6,875.49 and 4,310.27 is: 6,476.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.86 : 6,875.49 = 4,310.27 : x
  2. Step 2: Convert to fraction form
    4,575.86/6,875.49 = 4,310.27/x
  3. Step 3: Cross multiply
    4,575.86x = 6,875.49 × 4,310.27
  4. Step 4: Simplify right side
    4,575.86x = 29,635,218.28
  5. Step 5: Solve for x
    x = 29,635,218.28/4,575.86
  6. Step 6: Final answer
    x = 6,476.43

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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.