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Finding the Fourth Proportional to 3,197.04, 4,383.12 and 3,138.72

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Solution

The fourth proportional to 3,197.04, 4,383.12 and 3,138.72 is: 4,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,197.04 : 4,383.12 = 3,138.72 : x
  2. Step 2: Convert to fraction form
    3,197.04/4,383.12 = 3,138.72/x
  3. Step 3: Cross multiply
    3,197.04x = 4,383.12 × 3,138.72
  4. Step 4: Simplify right side
    3,197.04x = 13,757,386.41
  5. Step 5: Solve for x
    x = 13,757,386.41/3,197.04
  6. Step 6: Final answer
    x = 4,303.16

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.