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Finding the Fourth Proportional to 4,654.08, 6,421.86 and 2,766.78

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Solution

The fourth proportional to 4,654.08, 6,421.86 and 2,766.78 is: 3,817.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,654.08 : 6,421.86 = 2,766.78 : x
  2. Step 2: Convert to fraction form
    4,654.08/6,421.86 = 2,766.78/x
  3. Step 3: Cross multiply
    4,654.08x = 6,421.86 × 2,766.78
  4. Step 4: Simplify right side
    4,654.08x = 17,767,873.81
  5. Step 5: Solve for x
    x = 17,767,873.81/4,654.08
  6. Step 6: Final answer
    x = 3,817.70

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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.