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Finding the Fourth Proportional to 3,533.79, 4,878.30 and 2,209.44

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Solution

The fourth proportional to 3,533.79, 4,878.30 and 2,209.44 is: 3,050.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,533.79 : 4,878.30 = 2,209.44 : x
  2. Step 2: Convert to fraction form
    3,533.79/4,878.30 = 2,209.44/x
  3. Step 3: Cross multiply
    3,533.79x = 4,878.30 × 2,209.44
  4. Step 4: Simplify right side
    3,533.79x = 10,778,311.15
  5. Step 5: Solve for x
    x = 10,778,311.15/3,533.79
  6. Step 6: Final answer
    x = 3,050.07

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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.