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Finding the Fourth Proportional to 4,210.56, 5,812.56 and 4,093.92

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Solution

The fourth proportional to 4,210.56, 5,812.56 and 4,093.92 is: 5,651.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,210.56 : 5,812.56 = 4,093.92 : x
  2. Step 2: Convert to fraction form
    4,210.56/5,812.56 = 4,093.92/x
  3. Step 3: Cross multiply
    4,210.56x = 5,812.56 × 4,093.92
  4. Step 4: Simplify right side
    4,210.56x = 23,796,155.64
  5. Step 5: Solve for x
    x = 23,796,155.64/4,210.56
  6. Step 6: Final answer
    x = 5,651.54

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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.