Home / 5,206.26-7,807.14-1,507.62

Finding the Fourth Proportional to 5,206.26, 7,807.14 and 1,507.62

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Solution

The fourth proportional to 5,206.26, 7,807.14 and 1,507.62 is: 2,260.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,206.26 : 7,807.14 = 1,507.62 : x
  2. Step 2: Convert to fraction form
    5,206.26/7,807.14 = 1,507.62/x
  3. Step 3: Cross multiply
    5,206.26x = 7,807.14 × 1,507.62
  4. Step 4: Simplify right side
    5,206.26x = 11,770,200.41
  5. Step 5: Solve for x
    x = 11,770,200.41/5,206.26
  6. Step 6: Final answer
    x = 2,260.78

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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.