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Finding the Fourth Proportional to 3,457.73, 4,771.35 and 2,041.43

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Solution

The fourth proportional to 3,457.73, 4,771.35 and 2,041.43 is: 2,816.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.73 : 4,771.35 = 2,041.43 : x
  2. Step 2: Convert to fraction form
    3,457.73/4,771.35 = 2,041.43/x
  3. Step 3: Cross multiply
    3,457.73x = 4,771.35 × 2,041.43
  4. Step 4: Simplify right side
    3,457.73x = 9,740,353.17
  5. Step 5: Solve for x
    x = 9,740,353.17/3,457.73
  6. Step 6: Final answer
    x = 2,816.98

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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.