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Finding the Fourth Proportional to 4,967.09, 7,451.84 and 1,847.20

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Solution

The fourth proportional to 4,967.09, 7,451.84 and 1,847.20 is: 2,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.09 : 7,451.84 = 1,847.20 : x
  2. Step 2: Convert to fraction form
    4,967.09/7,451.84 = 1,847.20/x
  3. Step 3: Cross multiply
    4,967.09x = 7,451.84 × 1,847.20
  4. Step 4: Simplify right side
    4,967.09x = 13,765,038.85
  5. Step 5: Solve for x
    x = 13,765,038.85/4,967.09
  6. Step 6: Final answer
    x = 2,771.25

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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.