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Finding the Fourth Proportional to 5,889.98, 8,129.70 and 3,650.54

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Solution

The fourth proportional to 5,889.98, 8,129.70 and 3,650.54 is: 5,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.98 : 8,129.70 = 3,650.54 : x
  2. Step 2: Convert to fraction form
    5,889.98/8,129.70 = 3,650.54/x
  3. Step 3: Cross multiply
    5,889.98x = 8,129.70 × 3,650.54
  4. Step 4: Simplify right side
    5,889.98x = 29,677,795.04
  5. Step 5: Solve for x
    x = 29,677,795.04/5,889.98
  6. Step 6: Final answer
    x = 5,038.69

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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.