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Finding the Fourth Proportional to 6,048.33, 9,071.42 and 1,606.02

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Solution

The fourth proportional to 6,048.33, 9,071.42 and 1,606.02 is: 2,408.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.33 : 9,071.42 = 1,606.02 : x
  2. Step 2: Convert to fraction form
    6,048.33/9,071.42 = 1,606.02/x
  3. Step 3: Cross multiply
    6,048.33x = 9,071.42 × 1,606.02
  4. Step 4: Simplify right side
    6,048.33x = 14,568,873.92
  5. Step 5: Solve for x
    x = 14,568,873.92/6,048.33
  6. Step 6: Final answer
    x = 2,408.74

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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.