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Finding the Fourth Proportional to 4,062.34, 6,094.05 and 1,596.97

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Solution

The fourth proportional to 4,062.34, 6,094.05 and 1,596.97 is: 2,395.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,062.34 : 6,094.05 = 1,596.97 : x
  2. Step 2: Convert to fraction form
    4,062.34/6,094.05 = 1,596.97/x
  3. Step 3: Cross multiply
    4,062.34x = 6,094.05 × 1,596.97
  4. Step 4: Simplify right side
    4,062.34x = 9,732,015.03
  5. Step 5: Solve for x
    x = 9,732,015.03/4,062.34
  6. Step 6: Final answer
    x = 2,395.67

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