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Finding the Fourth Proportional to 5,716.94, 8,580.28 and 2,256.62

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Solution

The fourth proportional to 5,716.94, 8,580.28 and 2,256.62 is: 3,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,716.94 : 8,580.28 = 2,256.62 : x
  2. Step 2: Convert to fraction form
    5,716.94/8,580.28 = 2,256.62/x
  3. Step 3: Cross multiply
    5,716.94x = 8,580.28 × 2,256.62
  4. Step 4: Simplify right side
    5,716.94x = 19,362,431.45
  5. Step 5: Solve for x
    x = 19,362,431.45/5,716.94
  6. Step 6: Final answer
    x = 3,386.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.