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Finding the Fourth Proportional to 4,200.63, 5,797 and 2,312.11

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Solution

The fourth proportional to 4,200.63, 5,797 and 2,312.11 is: 3,190.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.63 : 5,797 = 2,312.11 : x
  2. Step 2: Convert to fraction form
    4,200.63/5,797 = 2,312.11/x
  3. Step 3: Cross multiply
    4,200.63x = 5,797 × 2,312.11
  4. Step 4: Simplify right side
    4,200.63x = 13,403,301.67
  5. Step 5: Solve for x
    x = 13,403,301.67/4,200.63
  6. Step 6: Final answer
    x = 3,190.78

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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.