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Finding the Fourth Proportional to 4,575.69, 6,311.12 and 2,897.37

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Solution

The fourth proportional to 4,575.69, 6,311.12 and 2,897.37 is: 3,996.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,575.69 : 6,311.12 = 2,897.37 : x
  2. Step 2: Convert to fraction form
    4,575.69/6,311.12 = 2,897.37/x
  3. Step 3: Cross multiply
    4,575.69x = 6,311.12 × 2,897.37
  4. Step 4: Simplify right side
    4,575.69x = 18,285,635.27
  5. Step 5: Solve for x
    x = 18,285,635.27/4,575.69
  6. Step 6: Final answer
    x = 3,996.26

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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.