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Finding the Fourth Proportional to 5,210.22, 7,813.83 and 2,434.23

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Solution

The fourth proportional to 5,210.22, 7,813.83 and 2,434.23 is: 3,650.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,210.22 : 7,813.83 = 2,434.23 : x
  2. Step 2: Convert to fraction form
    5,210.22/7,813.83 = 2,434.23/x
  3. Step 3: Cross multiply
    5,210.22x = 7,813.83 × 2,434.23
  4. Step 4: Simplify right side
    5,210.22x = 19,020,659.40
  5. Step 5: Solve for x
    x = 19,020,659.40/5,210.22
  6. Step 6: Final answer
    x = 3,650.64

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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.