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Finding the Fourth Proportional to 4,778.64, 6,593.85 and 2,654.01

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Solution

The fourth proportional to 4,778.64, 6,593.85 and 2,654.01 is: 3,662.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,778.64 : 6,593.85 = 2,654.01 : x
  2. Step 2: Convert to fraction form
    4,778.64/6,593.85 = 2,654.01/x
  3. Step 3: Cross multiply
    4,778.64x = 6,593.85 × 2,654.01
  4. Step 4: Simplify right side
    4,778.64x = 17,500,143.84
  5. Step 5: Solve for x
    x = 17,500,143.84/4,778.64
  6. Step 6: Final answer
    x = 3,662.16

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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.