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Finding the Fourth Proportional to 4,209.95, 5,809.48 and 2,321.62

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Solution

The fourth proportional to 4,209.95, 5,809.48 and 2,321.62 is: 3,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.95 : 5,809.48 = 2,321.62 : x
  2. Step 2: Convert to fraction form
    4,209.95/5,809.48 = 2,321.62/x
  3. Step 3: Cross multiply
    4,209.95x = 5,809.48 × 2,321.62
  4. Step 4: Simplify right side
    4,209.95x = 13,487,384.63
  5. Step 5: Solve for x
    x = 13,487,384.63/4,209.95
  6. Step 6: Final answer
    x = 3,203.69

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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.