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Finding the Fourth Proportional to 4,209.70, 5,808.94 and 2,321.18

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Solution

The fourth proportional to 4,209.70, 5,808.94 and 2,321.18 is: 3,202.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.70 : 5,808.94 = 2,321.18 : x
  2. Step 2: Convert to fraction form
    4,209.70/5,808.94 = 2,321.18/x
  3. Step 3: Cross multiply
    4,209.70x = 5,808.94 × 2,321.18
  4. Step 4: Simplify right side
    4,209.70x = 13,483,595.35
  5. Step 5: Solve for x
    x = 13,483,595.35/4,209.70
  6. Step 6: Final answer
    x = 3,202.98

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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.