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Finding the Fourth Proportional to 4,842.64, 7,267.74 and 2,247.40

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Solution

The fourth proportional to 4,842.64, 7,267.74 and 2,247.40 is: 3,372.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,842.64 : 7,267.74 = 2,247.40 : x
  2. Step 2: Convert to fraction form
    4,842.64/7,267.74 = 2,247.40/x
  3. Step 3: Cross multiply
    4,842.64x = 7,267.74 × 2,247.40
  4. Step 4: Simplify right side
    4,842.64x = 16,333,518.88
  5. Step 5: Solve for x
    x = 16,333,518.88/4,842.64
  6. Step 6: Final answer
    x = 3,372.85

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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.