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Finding the Fourth Proportional to 4,200.71, 5,796.79 and 2,312.41

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Solution

The fourth proportional to 4,200.71, 5,796.79 and 2,312.41 is: 3,191.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.71 : 5,796.79 = 2,312.41 : x
  2. Step 2: Convert to fraction form
    4,200.71/5,796.79 = 2,312.41/x
  3. Step 3: Cross multiply
    4,200.71x = 5,796.79 × 2,312.41
  4. Step 4: Simplify right side
    4,200.71x = 13,404,556.76
  5. Step 5: Solve for x
    x = 13,404,556.76/4,200.71
  6. Step 6: Final answer
    x = 3,191.02

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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.