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Finding the Fourth Proportional to 4,783.79, 7,177.08 and 2,009

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Solution

The fourth proportional to 4,783.79, 7,177.08 and 2,009 is: 3,014.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,783.79 : 7,177.08 = 2,009 : x
  2. Step 2: Convert to fraction form
    4,783.79/7,177.08 = 2,009/x
  3. Step 3: Cross multiply
    4,783.79x = 7,177.08 × 2,009
  4. Step 4: Simplify right side
    4,783.79x = 14,418,753.72
  5. Step 5: Solve for x
    x = 14,418,753.72/4,783.79
  6. Step 6: Final answer
    x = 3,014.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.