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Finding the Fourth Proportional to 4,333.86, 6,495.75 and 2,774.70

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Solution

The fourth proportional to 4,333.86, 6,495.75 and 2,774.70 is: 4,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,333.86 : 6,495.75 = 2,774.70 : x
  2. Step 2: Convert to fraction form
    4,333.86/6,495.75 = 2,774.70/x
  3. Step 3: Cross multiply
    4,333.86x = 6,495.75 × 2,774.70
  4. Step 4: Simplify right side
    4,333.86x = 18,023,757.53
  5. Step 5: Solve for x
    x = 18,023,757.53/4,333.86
  6. Step 6: Final answer
    x = 4,158.82

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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.