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Finding the Fourth Proportional to 3,457.47, 4,770.82 and 1,965.07

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Solution

The fourth proportional to 3,457.47, 4,770.82 and 1,965.07 is: 2,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,457.47 : 4,770.82 = 1,965.07 : x
  2. Step 2: Convert to fraction form
    3,457.47/4,770.82 = 1,965.07/x
  3. Step 3: Cross multiply
    3,457.47x = 4,770.82 × 1,965.07
  4. Step 4: Simplify right side
    3,457.47x = 9,374,961.58
  5. Step 5: Solve for x
    x = 9,374,961.58/3,457.47
  6. Step 6: Final answer
    x = 2,711.51

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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.