Home / 5,200.24-7,802.66-2,734.50

Finding the Fourth Proportional to 5,200.24, 7,802.66 and 2,734.50

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Solution

The fourth proportional to 5,200.24, 7,802.66 and 2,734.50 is: 4,102.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.24 : 7,802.66 = 2,734.50 : x
  2. Step 2: Convert to fraction form
    5,200.24/7,802.66 = 2,734.50/x
  3. Step 3: Cross multiply
    5,200.24x = 7,802.66 × 2,734.50
  4. Step 4: Simplify right side
    5,200.24x = 21,336,373.77
  5. Step 5: Solve for x
    x = 21,336,373.77/5,200.24
  6. Step 6: Final answer
    x = 4,102.96

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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.