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Finding the Fourth Proportional to 3,409.60, 4,708.23 and 2,152.90

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Solution

The fourth proportional to 3,409.60, 4,708.23 and 2,152.90 is: 2,972.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.60 : 4,708.23 = 2,152.90 : x
  2. Step 2: Convert to fraction form
    3,409.60/4,708.23 = 2,152.90/x
  3. Step 3: Cross multiply
    3,409.60x = 4,708.23 × 2,152.90
  4. Step 4: Simplify right side
    3,409.60x = 10,136,348.37
  5. Step 5: Solve for x
    x = 10,136,348.37/3,409.60
  6. Step 6: Final answer
    x = 2,972.88

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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.