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Finding the Fourth Proportional to 4,152.69, 6,234.48 and 2,774.88

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Solution

The fourth proportional to 4,152.69, 6,234.48 and 2,774.88 is: 4,165.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,152.69 : 6,234.48 = 2,774.88 : x
  2. Step 2: Convert to fraction form
    4,152.69/6,234.48 = 2,774.88/x
  3. Step 3: Cross multiply
    4,152.69x = 6,234.48 × 2,774.88
  4. Step 4: Simplify right side
    4,152.69x = 17,299,933.86
  5. Step 5: Solve for x
    x = 17,299,933.86/4,152.69
  6. Step 6: Final answer
    x = 4,165.96

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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.