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Finding the Fourth Proportional to 3,210.41, 4,807.92 and 1,745.93

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Solution

The fourth proportional to 3,210.41, 4,807.92 and 1,745.93 is: 2,614.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,210.41 : 4,807.92 = 1,745.93 : x
  2. Step 2: Convert to fraction form
    3,210.41/4,807.92 = 1,745.93/x
  3. Step 3: Cross multiply
    3,210.41x = 4,807.92 × 1,745.93
  4. Step 4: Simplify right side
    3,210.41x = 8,394,291.77
  5. Step 5: Solve for x
    x = 8,394,291.77/3,210.41
  6. Step 6: Final answer
    x = 2,614.71

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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.