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Finding the Fourth Proportional to 4,200.88, 5,797.22 and 2,312.48

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Solution

The fourth proportional to 4,200.88, 5,797.22 and 2,312.48 is: 3,191.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.88 : 5,797.22 = 2,312.48 : x
  2. Step 2: Convert to fraction form
    4,200.88/5,797.22 = 2,312.48/x
  3. Step 3: Cross multiply
    4,200.88x = 5,797.22 × 2,312.48
  4. Step 4: Simplify right side
    4,200.88x = 13,405,955.31
  5. Step 5: Solve for x
    x = 13,405,955.31/4,200.88
  6. Step 6: Final answer
    x = 3,191.23

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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.