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Finding the Fourth Proportional to 3,239.72, 4,858.61 and 899.16

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Solution

The fourth proportional to 3,239.72, 4,858.61 and 899.16 is: 1,348.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.72 : 4,858.61 = 899.16 : x
  2. Step 2: Convert to fraction form
    3,239.72/4,858.61 = 899.16/x
  3. Step 3: Cross multiply
    3,239.72x = 4,858.61 × 899.16
  4. Step 4: Simplify right side
    3,239.72x = 4,368,663.27
  5. Step 5: Solve for x
    x = 4,368,663.27/3,239.72
  6. Step 6: Final answer
    x = 1,348.47

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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.