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Finding the Fourth Proportional to 4,670.57, 7,005.99 and 2,206.55

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Solution

The fourth proportional to 4,670.57, 7,005.99 and 2,206.55 is: 3,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,670.57 : 7,005.99 = 2,206.55 : x
  2. Step 2: Convert to fraction form
    4,670.57/7,005.99 = 2,206.55/x
  3. Step 3: Cross multiply
    4,670.57x = 7,005.99 × 2,206.55
  4. Step 4: Simplify right side
    4,670.57x = 15,459,067.23
  5. Step 5: Solve for x
    x = 15,459,067.23/4,670.57
  6. Step 6: Final answer
    x = 3,309.89

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Why These Related Problems?

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