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Finding the Fourth Proportional to 4,212.68, 5,810.07 and 3,707.44

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Solution

The fourth proportional to 4,212.68, 5,810.07 and 3,707.44 is: 5,113.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,212.68 : 5,810.07 = 3,707.44 : x
  2. Step 2: Convert to fraction form
    4,212.68/5,810.07 = 3,707.44/x
  3. Step 3: Cross multiply
    4,212.68x = 5,810.07 × 3,707.44
  4. Step 4: Simplify right side
    4,212.68x = 21,540,485.92
  5. Step 5: Solve for x
    x = 21,540,485.92/4,212.68
  6. Step 6: Final answer
    x = 5,113.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.