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Finding the Fourth Proportional to 5,792.55, 8,689.46 and 1,896.05

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Solution

The fourth proportional to 5,792.55, 8,689.46 and 1,896.05 is: 2,844.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,792.55 : 8,689.46 = 1,896.05 : x
  2. Step 2: Convert to fraction form
    5,792.55/8,689.46 = 1,896.05/x
  3. Step 3: Cross multiply
    5,792.55x = 8,689.46 × 1,896.05
  4. Step 4: Simplify right side
    5,792.55x = 16,475,597.71
  5. Step 5: Solve for x
    x = 16,475,597.71/5,792.55
  6. Step 6: Final answer
    x = 2,844.27

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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.