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Finding the Fourth Proportional to 3,457.58, 4,771.22 and 2,041.20

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Solution

The fourth proportional to 3,457.58, 4,771.22 and 2,041.20 is: 2,816.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.58 : 4,771.22 = 2,041.20 : x
  2. Step 2: Convert to fraction form
    3,457.58/4,771.22 = 2,041.20/x
  3. Step 3: Cross multiply
    3,457.58x = 4,771.22 × 2,041.20
  4. Step 4: Simplify right side
    3,457.58x = 9,739,014.26
  5. Step 5: Solve for x
    x = 9,739,014.26/3,457.58
  6. Step 6: Final answer
    x = 2,816.71

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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.