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Finding the Fourth Proportional to 3,775.85, 5,209.23 and 2,783.49

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Solution

The fourth proportional to 3,775.85, 5,209.23 and 2,783.49 is: 3,840.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.85 : 5,209.23 = 2,783.49 : x
  2. Step 2: Convert to fraction form
    3,775.85/5,209.23 = 2,783.49/x
  3. Step 3: Cross multiply
    3,775.85x = 5,209.23 × 2,783.49
  4. Step 4: Simplify right side
    3,775.85x = 14,499,839.61
  5. Step 5: Solve for x
    x = 14,499,839.61/3,775.85
  6. Step 6: Final answer
    x = 3,840.16

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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.