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Finding the Fourth Proportional to 4,156.93, 5,736.40 and 2,293.93

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Solution

The fourth proportional to 4,156.93, 5,736.40 and 2,293.93 is: 3,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.93 : 5,736.40 = 2,293.93 : x
  2. Step 2: Convert to fraction form
    4,156.93/5,736.40 = 2,293.93/x
  3. Step 3: Cross multiply
    4,156.93x = 5,736.40 × 2,293.93
  4. Step 4: Simplify right side
    4,156.93x = 13,158,900.05
  5. Step 5: Solve for x
    x = 13,158,900.05/4,156.93
  6. Step 6: Final answer
    x = 3,165.53

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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.