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Finding the Fourth Proportional to 4,209.99, 5,810.04 and 2,321.57

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Solution

The fourth proportional to 4,209.99, 5,810.04 and 2,321.57 is: 3,203.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,209.99 : 5,810.04 = 2,321.57 : x
  2. Step 2: Convert to fraction form
    4,209.99/5,810.04 = 2,321.57/x
  3. Step 3: Cross multiply
    4,209.99x = 5,810.04 × 2,321.57
  4. Step 4: Simplify right side
    4,209.99x = 13,488,391.50
  5. Step 5: Solve for x
    x = 13,488,391.50/4,209.99
  6. Step 6: Final answer
    x = 3,203.90

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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.