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Finding the Fourth Proportional to 4,209.64, 5,809.16 and 2,441.30

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Solution

The fourth proportional to 4,209.64, 5,809.16 and 2,441.30 is: 3,368.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.64 : 5,809.16 = 2,441.30 : x
  2. Step 2: Convert to fraction form
    4,209.64/5,809.16 = 2,441.30/x
  3. Step 3: Cross multiply
    4,209.64x = 5,809.16 × 2,441.30
  4. Step 4: Simplify right side
    4,209.64x = 14,181,902.31
  5. Step 5: Solve for x
    x = 14,181,902.31/4,209.64
  6. Step 6: Final answer
    x = 3,368.91

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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.