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Finding the Fourth Proportional to 3,416.01, 4,704.16 and 2,967.67

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Solution

The fourth proportional to 3,416.01, 4,704.16 and 2,967.67 is: 4,086.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.01 : 4,704.16 = 2,967.67 : x
  2. Step 2: Convert to fraction form
    3,416.01/4,704.16 = 2,967.67/x
  3. Step 3: Cross multiply
    3,416.01x = 4,704.16 × 2,967.67
  4. Step 4: Simplify right side
    3,416.01x = 13,960,398.22
  5. Step 5: Solve for x
    x = 13,960,398.22/3,416.01
  6. Step 6: Final answer
    x = 4,086.76

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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.