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Finding the Fourth Proportional to 3,476.44, 5,209.80 and 2,555.74

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Solution

The fourth proportional to 3,476.44, 5,209.80 and 2,555.74 is: 3,830.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,476.44 : 5,209.80 = 2,555.74 : x
  2. Step 2: Convert to fraction form
    3,476.44/5,209.80 = 2,555.74/x
  3. Step 3: Cross multiply
    3,476.44x = 5,209.80 × 2,555.74
  4. Step 4: Simplify right side
    3,476.44x = 13,314,894.25
  5. Step 5: Solve for x
    x = 13,314,894.25/3,476.44
  6. Step 6: Final answer
    x = 3,830.04

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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.