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Finding the Fourth Proportional to 3,775.35, 5,208.54 and 2,782.99

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Solution

The fourth proportional to 3,775.35, 5,208.54 and 2,782.99 is: 3,839.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.35 : 5,208.54 = 2,782.99 : x
  2. Step 2: Convert to fraction form
    3,775.35/5,208.54 = 2,782.99/x
  3. Step 3: Cross multiply
    3,775.35x = 5,208.54 × 2,782.99
  4. Step 4: Simplify right side
    3,775.35x = 14,495,314.73
  5. Step 5: Solve for x
    x = 14,495,314.73/3,775.35
  6. Step 6: Final answer
    x = 3,839.46

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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.