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Finding the Fourth Proportional to 4,209.66, 5,809.60 and 2,346.66

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Solution

The fourth proportional to 4,209.66, 5,809.60 and 2,346.66 is: 3,238.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.66 : 5,809.60 = 2,346.66 : x
  2. Step 2: Convert to fraction form
    4,209.66/5,809.60 = 2,346.66/x
  3. Step 3: Cross multiply
    4,209.66x = 5,809.60 × 2,346.66
  4. Step 4: Simplify right side
    4,209.66x = 13,633,155.94
  5. Step 5: Solve for x
    x = 13,633,155.94/4,209.66
  6. Step 6: Final answer
    x = 3,238.54

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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.