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Finding the Fourth Proportional to 4,660.20, 6,973.02 and 2,609.64

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Solution

The fourth proportional to 4,660.20, 6,973.02 and 2,609.64 is: 3,904.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,660.20 : 6,973.02 = 2,609.64 : x
  2. Step 2: Convert to fraction form
    4,660.20/6,973.02 = 2,609.64/x
  3. Step 3: Cross multiply
    4,660.20x = 6,973.02 × 2,609.64
  4. Step 4: Simplify right side
    4,660.20x = 18,197,071.91
  5. Step 5: Solve for x
    x = 18,197,071.91/4,660.20
  6. Step 6: Final answer
    x = 3,904.78

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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.