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Finding the Fourth Proportional to 5,890.44, 8,128.50 and 3,237.93

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Solution

The fourth proportional to 5,890.44, 8,128.50 and 3,237.93 is: 4,468.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.44 : 8,128.50 = 3,237.93 : x
  2. Step 2: Convert to fraction form
    5,890.44/8,128.50 = 3,237.93/x
  3. Step 3: Cross multiply
    5,890.44x = 8,128.50 × 3,237.93
  4. Step 4: Simplify right side
    5,890.44x = 26,319,514.01
  5. Step 5: Solve for x
    x = 26,319,514.01/5,890.44
  6. Step 6: Final answer
    x = 4,468.17

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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.