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Finding the Fourth Proportional to 4,200.36, 5,796.40 and 2,312

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Solution

The fourth proportional to 4,200.36, 5,796.40 and 2,312 is: 3,190.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.36 : 5,796.40 = 2,312 : x
  2. Step 2: Convert to fraction form
    4,200.36/5,796.40 = 2,312/x
  3. Step 3: Cross multiply
    4,200.36x = 5,796.40 × 2,312
  4. Step 4: Simplify right side
    4,200.36x = 13,401,276.80
  5. Step 5: Solve for x
    x = 13,401,276.80/4,200.36
  6. Step 6: Final answer
    x = 3,190.51

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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.