Home / 3,206.29-4,807.52-1,097.16

Finding the Fourth Proportional to 3,206.29, 4,807.52 and 1,097.16

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Solution

The fourth proportional to 3,206.29, 4,807.52 and 1,097.16 is: 1,645.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,206.29 : 4,807.52 = 1,097.16 : x
  2. Step 2: Convert to fraction form
    3,206.29/4,807.52 = 1,097.16/x
  3. Step 3: Cross multiply
    3,206.29x = 4,807.52 × 1,097.16
  4. Step 4: Simplify right side
    3,206.29x = 5,274,618.64
  5. Step 5: Solve for x
    x = 5,274,618.64/3,206.29
  6. Step 6: Final answer
    x = 1,645.09

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Why These Related Problems?

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