Home / 3,450-4,762.16-2,033.64

Finding the Fourth Proportional to 3,450, 4,762.16 and 2,033.64

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Solution

The fourth proportional to 3,450, 4,762.16 and 2,033.64 is: 2,807.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,450 : 4,762.16 = 2,033.64 : x
  2. Step 2: Convert to fraction form
    3,450/4,762.16 = 2,033.64/x
  3. Step 3: Cross multiply
    3,450x = 4,762.16 × 2,033.64
  4. Step 4: Simplify right side
    3,450x = 9,684,508.89
  5. Step 5: Solve for x
    x = 9,684,508.89/3,450
  6. Step 6: Final answer
    x = 2,807.10

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Why These Related Problems?

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