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Finding the Fourth Proportional to 3,406.92, 5,085.50 and 2,923.08

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Solution

The fourth proportional to 3,406.92, 5,085.50 and 2,923.08 is: 4,363.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.92 : 5,085.50 = 2,923.08 : x
  2. Step 2: Convert to fraction form
    3,406.92/5,085.50 = 2,923.08/x
  3. Step 3: Cross multiply
    3,406.92x = 5,085.50 × 2,923.08
  4. Step 4: Simplify right side
    3,406.92x = 14,865,323.34
  5. Step 5: Solve for x
    x = 14,865,323.34/3,406.92
  6. Step 6: Final answer
    x = 4,363.27

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.