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Finding the Fourth Proportional to 3,464.73, 4,770.23 and 2,803.77

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Solution

The fourth proportional to 3,464.73, 4,770.23 and 2,803.77 is: 3,860.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,464.73 : 4,770.23 = 2,803.77 : x
  2. Step 2: Convert to fraction form
    3,464.73/4,770.23 = 2,803.77/x
  3. Step 3: Cross multiply
    3,464.73x = 4,770.23 × 2,803.77
  4. Step 4: Simplify right side
    3,464.73x = 13,374,613.75
  5. Step 5: Solve for x
    x = 13,374,613.75/3,464.73
  6. Step 6: Final answer
    x = 3,860.22

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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.