Home / 5,200.26-7,802.55-3,124.50

Finding the Fourth Proportional to 5,200.26, 7,802.55 and 3,124.50

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Solution

The fourth proportional to 5,200.26, 7,802.55 and 3,124.50 is: 4,688.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.26 : 7,802.55 = 3,124.50 : x
  2. Step 2: Convert to fraction form
    5,200.26/7,802.55 = 3,124.50/x
  3. Step 3: Cross multiply
    5,200.26x = 7,802.55 × 3,124.50
  4. Step 4: Simplify right side
    5,200.26x = 24,379,067.48
  5. Step 5: Solve for x
    x = 24,379,067.48/5,200.26
  6. Step 6: Final answer
    x = 4,688.05

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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.