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Finding the Fourth Proportional to 4,677.81, 6,452.49 and 2,788.12

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Solution

The fourth proportional to 4,677.81, 6,452.49 and 2,788.12 is: 3,845.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,677.81 : 6,452.49 = 2,788.12 : x
  2. Step 2: Convert to fraction form
    4,677.81/6,452.49 = 2,788.12/x
  3. Step 3: Cross multiply
    4,677.81x = 6,452.49 × 2,788.12
  4. Step 4: Simplify right side
    4,677.81x = 17,990,316.42
  5. Step 5: Solve for x
    x = 17,990,316.42/4,677.81
  6. Step 6: Final answer
    x = 3,845.88

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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.