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Finding the Fourth Proportional to 5,828.70, 8,025.03 and 5,431.26

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Solution

The fourth proportional to 5,828.70, 8,025.03 and 5,431.26 is: 7,477.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.70 : 8,025.03 = 5,431.26 : x
  2. Step 2: Convert to fraction form
    5,828.70/8,025.03 = 5,431.26/x
  3. Step 3: Cross multiply
    5,828.70x = 8,025.03 × 5,431.26
  4. Step 4: Simplify right side
    5,828.70x = 43,586,024.44
  5. Step 5: Solve for x
    x = 43,586,024.44/5,828.70
  6. Step 6: Final answer
    x = 7,477.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.