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Finding the Fourth Proportional to 5,890.36, 8,128.50 and 3,237.64

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Solution

The fourth proportional to 5,890.36, 8,128.50 and 3,237.64 is: 4,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,890.36 : 8,128.50 = 3,237.64 : x
  2. Step 2: Convert to fraction form
    5,890.36/8,128.50 = 3,237.64/x
  3. Step 3: Cross multiply
    5,890.36x = 8,128.50 × 3,237.64
  4. Step 4: Simplify right side
    5,890.36x = 26,317,156.74
  5. Step 5: Solve for x
    x = 26,317,156.74/5,890.36
  6. Step 6: Final answer
    x = 4,467.84

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