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Finding the Fourth Proportional to 3,457.35, 4,770.65 and 2,041.09

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Solution

The fourth proportional to 3,457.35, 4,770.65 and 2,041.09 is: 2,816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.35 : 4,770.65 = 2,041.09 : x
  2. Step 2: Convert to fraction form
    3,457.35/4,770.65 = 2,041.09/x
  3. Step 3: Cross multiply
    3,457.35x = 4,770.65 × 2,041.09
  4. Step 4: Simplify right side
    3,457.35x = 9,737,319.18
  5. Step 5: Solve for x
    x = 9,737,319.18/3,457.35
  6. Step 6: Final answer
    x = 2,816.41

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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.