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Finding the Fourth Proportional to 5,889.79, 8,128.30 and 3,653.15

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Solution

The fourth proportional to 5,889.79, 8,128.30 and 3,653.15 is: 5,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.79 : 8,128.30 = 3,653.15 : x
  2. Step 2: Convert to fraction form
    5,889.79/8,128.30 = 3,653.15/x
  3. Step 3: Cross multiply
    5,889.79x = 8,128.30 × 3,653.15
  4. Step 4: Simplify right side
    5,889.79x = 29,693,914.53
  5. Step 5: Solve for x
    x = 29,693,914.53/5,889.79
  6. Step 6: Final answer
    x = 5,041.59

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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.