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Finding the Fourth Proportional to 3,406.23, 4,700.58 and 1,989.81

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Solution

The fourth proportional to 3,406.23, 4,700.58 and 1,989.81 is: 2,745.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.23 : 4,700.58 = 1,989.81 : x
  2. Step 2: Convert to fraction form
    3,406.23/4,700.58 = 1,989.81/x
  3. Step 3: Cross multiply
    3,406.23x = 4,700.58 × 1,989.81
  4. Step 4: Simplify right side
    3,406.23x = 9,353,261.09
  5. Step 5: Solve for x
    x = 9,353,261.09/3,406.23
  6. Step 6: Final answer
    x = 2,745.93

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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.