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Finding the Fourth Proportional to 4,914.56, 7,370.94 and 1,451

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Solution

The fourth proportional to 4,914.56, 7,370.94 and 1,451 is: 2,176.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.56 : 7,370.94 = 1,451 : x
  2. Step 2: Convert to fraction form
    4,914.56/7,370.94 = 1,451/x
  3. Step 3: Cross multiply
    4,914.56x = 7,370.94 × 1,451
  4. Step 4: Simplify right side
    4,914.56x = 10,695,233.94
  5. Step 5: Solve for x
    x = 10,695,233.94/4,914.56
  6. Step 6: Final answer
    x = 2,176.23

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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.