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Finding the Fourth Proportional to 3,362.88, 5,041.24 and 1,415.22

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Solution

The fourth proportional to 3,362.88, 5,041.24 and 1,415.22 is: 2,121.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.88 : 5,041.24 = 1,415.22 : x
  2. Step 2: Convert to fraction form
    3,362.88/5,041.24 = 1,415.22/x
  3. Step 3: Cross multiply
    3,362.88x = 5,041.24 × 1,415.22
  4. Step 4: Simplify right side
    3,362.88x = 7,134,463.67
  5. Step 5: Solve for x
    x = 7,134,463.67/3,362.88
  6. Step 6: Final answer
    x = 2,121.53

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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.