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Finding the Fourth Proportional to 5,693.14, 8,538 and 3,059.02

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Solution

The fourth proportional to 5,693.14, 8,538 and 3,059.02 is: 4,587.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,693.14 : 8,538 = 3,059.02 : x
  2. Step 2: Convert to fraction form
    5,693.14/8,538 = 3,059.02/x
  3. Step 3: Cross multiply
    5,693.14x = 8,538 × 3,059.02
  4. Step 4: Simplify right side
    5,693.14x = 26,117,912.76
  5. Step 5: Solve for x
    x = 26,117,912.76/5,693.14
  6. Step 6: Final answer
    x = 4,587.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.