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Finding the Fourth Proportional to 3,456.86, 4,770.47 and 1,884.96

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Solution

The fourth proportional to 3,456.86, 4,770.47 and 1,884.96 is: 2,601.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.86 : 4,770.47 = 1,884.96 : x
  2. Step 2: Convert to fraction form
    3,456.86/4,770.47 = 1,884.96/x
  3. Step 3: Cross multiply
    3,456.86x = 4,770.47 × 1,884.96
  4. Step 4: Simplify right side
    3,456.86x = 8,992,135.71
  5. Step 5: Solve for x
    x = 8,992,135.71/3,456.86
  6. Step 6: Final answer
    x = 2,601.25

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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.