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Finding the Fourth Proportional to 4,674.68, 7,002.30 and 3,424.40

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Solution

The fourth proportional to 4,674.68, 7,002.30 and 3,424.40 is: 5,129.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,674.68 : 7,002.30 = 3,424.40 : x
  2. Step 2: Convert to fraction form
    4,674.68/7,002.30 = 3,424.40/x
  3. Step 3: Cross multiply
    4,674.68x = 7,002.30 × 3,424.40
  4. Step 4: Simplify right side
    4,674.68x = 23,978,676.12
  5. Step 5: Solve for x
    x = 23,978,676.12/4,674.68
  6. Step 6: Final answer
    x = 5,129.48

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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.