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Finding the Fourth Proportional to 3,774.97, 5,209.68 and 2,359.54

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Solution

The fourth proportional to 3,774.97, 5,209.68 and 2,359.54 is: 3,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.97 : 5,209.68 = 2,359.54 : x
  2. Step 2: Convert to fraction form
    3,774.97/5,209.68 = 2,359.54/x
  3. Step 3: Cross multiply
    3,774.97x = 5,209.68 × 2,359.54
  4. Step 4: Simplify right side
    3,774.97x = 12,292,448.35
  5. Step 5: Solve for x
    x = 12,292,448.35/3,774.97
  6. Step 6: Final answer
    x = 3,256.30

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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.