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Finding the Fourth Proportional to 3,457.48, 4,771.20 and 2,041.42

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Solution

The fourth proportional to 3,457.48, 4,771.20 and 2,041.42 is: 2,817.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.48 : 4,771.20 = 2,041.42 : x
  2. Step 2: Convert to fraction form
    3,457.48/4,771.20 = 2,041.42/x
  3. Step 3: Cross multiply
    3,457.48x = 4,771.20 × 2,041.42
  4. Step 4: Simplify right side
    3,457.48x = 9,740,023.10
  5. Step 5: Solve for x
    x = 9,740,023.10/3,457.48
  6. Step 6: Final answer
    x = 2,817.09

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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.