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Finding the Fourth Proportional to 3,197.72, 4,823.60 and 3,029.66

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Solution

The fourth proportional to 3,197.72, 4,823.60 and 3,029.66 is: 4,570.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.72 : 4,823.60 = 3,029.66 : x
  2. Step 2: Convert to fraction form
    3,197.72/4,823.60 = 3,029.66/x
  3. Step 3: Cross multiply
    3,197.72x = 4,823.60 × 3,029.66
  4. Step 4: Simplify right side
    3,197.72x = 14,613,867.98
  5. Step 5: Solve for x
    x = 14,613,867.98/3,197.72
  6. Step 6: Final answer
    x = 4,570.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.