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Finding the Fourth Proportional to 4,770.14, 6,583.54 and 2,781.86

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Solution

The fourth proportional to 4,770.14, 6,583.54 and 2,781.86 is: 3,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.14 : 6,583.54 = 2,781.86 : x
  2. Step 2: Convert to fraction form
    4,770.14/6,583.54 = 2,781.86/x
  3. Step 3: Cross multiply
    4,770.14x = 6,583.54 × 2,781.86
  4. Step 4: Simplify right side
    4,770.14x = 18,314,486.58
  5. Step 5: Solve for x
    x = 18,314,486.58/4,770.14
  6. Step 6: Final answer
    x = 3,839.40

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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.