Home / 5,200.52-7,803.38-2,427.41

Finding the Fourth Proportional to 5,200.52, 7,803.38 and 2,427.41

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Solution

The fourth proportional to 5,200.52, 7,803.38 and 2,427.41 is: 3,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.52 : 7,803.38 = 2,427.41 : x
  2. Step 2: Convert to fraction form
    5,200.52/7,803.38 = 2,427.41/x
  3. Step 3: Cross multiply
    5,200.52x = 7,803.38 × 2,427.41
  4. Step 4: Simplify right side
    5,200.52x = 18,941,951.49
  5. Step 5: Solve for x
    x = 18,941,951.49/5,200.52
  6. Step 6: Final answer
    x = 3,642.32

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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.