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Finding the Fourth Proportional to 4,223.98, 5,829.01 and 2,335.63

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Solution

The fourth proportional to 4,223.98, 5,829.01 and 2,335.63 is: 3,223.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,223.98 : 5,829.01 = 2,335.63 : x
  2. Step 2: Convert to fraction form
    4,223.98/5,829.01 = 2,335.63/x
  3. Step 3: Cross multiply
    4,223.98x = 5,829.01 × 2,335.63
  4. Step 4: Simplify right side
    4,223.98x = 13,614,410.63
  5. Step 5: Solve for x
    x = 13,614,410.63/4,223.98
  6. Step 6: Final answer
    x = 3,223.12

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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.