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Finding the Fourth Proportional to 3,107.94, 4,652.26 and 2,323.32

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Solution

The fourth proportional to 3,107.94, 4,652.26 and 2,323.32 is: 3,477.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,107.94 : 4,652.26 = 2,323.32 : x
  2. Step 2: Convert to fraction form
    3,107.94/4,652.26 = 2,323.32/x
  3. Step 3: Cross multiply
    3,107.94x = 4,652.26 × 2,323.32
  4. Step 4: Simplify right side
    3,107.94x = 10,808,688.70
  5. Step 5: Solve for x
    x = 10,808,688.70/3,107.94
  6. Step 6: Final answer
    x = 3,477.77

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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.