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Finding the Fourth Proportional to 6,089.56, 8,402.14 and 4,200.54

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Solution

The fourth proportional to 6,089.56, 8,402.14 and 4,200.54 is: 5,795.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.56 : 8,402.14 = 4,200.54 : x
  2. Step 2: Convert to fraction form
    6,089.56/8,402.14 = 4,200.54/x
  3. Step 3: Cross multiply
    6,089.56x = 8,402.14 × 4,200.54
  4. Step 4: Simplify right side
    6,089.56x = 35,293,475.27
  5. Step 5: Solve for x
    x = 35,293,475.27/6,089.56
  6. Step 6: Final answer
    x = 5,795.74

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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.