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Finding the Fourth Proportional to 5,313.46, 7,970.46 and 2,025.94

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Solution

The fourth proportional to 5,313.46, 7,970.46 and 2,025.94 is: 3,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,313.46 : 7,970.46 = 2,025.94 : x
  2. Step 2: Convert to fraction form
    5,313.46/7,970.46 = 2,025.94/x
  3. Step 3: Cross multiply
    5,313.46x = 7,970.46 × 2,025.94
  4. Step 4: Simplify right side
    5,313.46x = 16,147,673.73
  5. Step 5: Solve for x
    x = 16,147,673.73/5,313.46
  6. Step 6: Final answer
    x = 3,039.01

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Why These Related Problems?

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