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Finding the Fourth Proportional to 3,310.79, 4,967.06 and 1,462.32

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Solution

The fourth proportional to 3,310.79, 4,967.06 and 1,462.32 is: 2,193.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,310.79 : 4,967.06 = 1,462.32 : x
  2. Step 2: Convert to fraction form
    3,310.79/4,967.06 = 1,462.32/x
  3. Step 3: Cross multiply
    3,310.79x = 4,967.06 × 1,462.32
  4. Step 4: Simplify right side
    3,310.79x = 7,263,423.87
  5. Step 5: Solve for x
    x = 7,263,423.87/3,310.79
  6. Step 6: Final answer
    x = 2,193.87

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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.