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Finding the Fourth Proportional to 4,200.96, 5,797.10 and 2,312.17

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Solution

The fourth proportional to 4,200.96, 5,797.10 and 2,312.17 is: 3,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,200.96 : 5,797.10 = 2,312.17 : x
  2. Step 2: Convert to fraction form
    4,200.96/5,797.10 = 2,312.17/x
  3. Step 3: Cross multiply
    4,200.96x = 5,797.10 × 2,312.17
  4. Step 4: Simplify right side
    4,200.96x = 13,403,895.93
  5. Step 5: Solve for x
    x = 13,403,895.93/4,200.96
  6. Step 6: Final answer
    x = 3,190.68

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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.