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Finding the Fourth Proportional to 5,890.96, 8,126.80 and 3,765.93

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Solution

The fourth proportional to 5,890.96, 8,126.80 and 3,765.93 is: 5,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.96 : 8,126.80 = 3,765.93 : x
  2. Step 2: Convert to fraction form
    5,890.96/8,126.80 = 3,765.93/x
  3. Step 3: Cross multiply
    5,890.96x = 8,126.80 × 3,765.93
  4. Step 4: Simplify right side
    5,890.96x = 30,604,959.92
  5. Step 5: Solve for x
    x = 30,604,959.92/5,890.96
  6. Step 6: Final answer
    x = 5,195.24

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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.