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Finding the Fourth Proportional to 3,423.24, 4,715.46 and 3,171.24

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Solution

The fourth proportional to 3,423.24, 4,715.46 and 3,171.24 is: 4,368.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.24 : 4,715.46 = 3,171.24 : x
  2. Step 2: Convert to fraction form
    3,423.24/4,715.46 = 3,171.24/x
  3. Step 3: Cross multiply
    3,423.24x = 4,715.46 × 3,171.24
  4. Step 4: Simplify right side
    3,423.24x = 14,953,855.37
  5. Step 5: Solve for x
    x = 14,953,855.37/3,423.24
  6. Step 6: Final answer
    x = 4,368.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.