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Finding the Fourth Proportional to 6,952.19, 10,421.81 and 3,485.39

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Solution

The fourth proportional to 6,952.19, 10,421.81 and 3,485.39 is: 5,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,952.19 : 10,421.81 = 3,485.39 : x
  2. Step 2: Convert to fraction form
    6,952.19/10,421.81 = 3,485.39/x
  3. Step 3: Cross multiply
    6,952.19x = 10,421.81 × 3,485.39
  4. Step 4: Simplify right side
    6,952.19x = 36,324,094.05
  5. Step 5: Solve for x
    x = 36,324,094.05/6,952.19
  6. Step 6: Final answer
    x = 5,224.84

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