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Finding the Fourth Proportional to 4,134.93, 6,203.34 and 1,213.47

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Solution

The fourth proportional to 4,134.93, 6,203.34 and 1,213.47 is: 1,820.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.93 : 6,203.34 = 1,213.47 : x
  2. Step 2: Convert to fraction form
    4,134.93/6,203.34 = 1,213.47/x
  3. Step 3: Cross multiply
    4,134.93x = 6,203.34 × 1,213.47
  4. Step 4: Simplify right side
    4,134.93x = 7,527,566.99
  5. Step 5: Solve for x
    x = 7,527,566.99/4,134.93
  6. Step 6: Final answer
    x = 1,820.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.