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Finding the Fourth Proportional to 4,209.68, 5,808 and 2,440.80

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Solution

The fourth proportional to 4,209.68, 5,808 and 2,440.80 is: 3,367.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.68 : 5,808 = 2,440.80 : x
  2. Step 2: Convert to fraction form
    4,209.68/5,808 = 2,440.80/x
  3. Step 3: Cross multiply
    4,209.68x = 5,808 × 2,440.80
  4. Step 4: Simplify right side
    4,209.68x = 14,176,166.40
  5. Step 5: Solve for x
    x = 14,176,166.40/4,209.68
  6. Step 6: Final answer
    x = 3,367.52

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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.