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Finding the Fourth Proportional to 3,230.52, 4,429.06 and 3,172.20

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Solution

The fourth proportional to 3,230.52, 4,429.06 and 3,172.20 is: 4,349.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,230.52 : 4,429.06 = 3,172.20 : x
  2. Step 2: Convert to fraction form
    3,230.52/4,429.06 = 3,172.20/x
  3. Step 3: Cross multiply
    3,230.52x = 4,429.06 × 3,172.20
  4. Step 4: Simplify right side
    3,230.52x = 14,049,864.13
  5. Step 5: Solve for x
    x = 14,049,864.13/3,230.52
  6. Step 6: Final answer
    x = 4,349.10

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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.