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Finding the Fourth Proportional to 4,156.50, 5,736.16 and 2,293.50

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Solution

The fourth proportional to 4,156.50, 5,736.16 and 2,293.50 is: 3,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.50 : 5,736.16 = 2,293.50 : x
  2. Step 2: Convert to fraction form
    4,156.50/5,736.16 = 2,293.50/x
  3. Step 3: Cross multiply
    4,156.50x = 5,736.16 × 2,293.50
  4. Step 4: Simplify right side
    4,156.50x = 13,155,882.96
  5. Step 5: Solve for x
    x = 13,155,882.96/4,156.50
  6. Step 6: Final answer
    x = 3,165.13

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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.