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Finding the Fourth Proportional to 5,239.36, 7,859.04 and 2,464.30

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Solution

The fourth proportional to 5,239.36, 7,859.04 and 2,464.30 is: 3,696.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,239.36 : 7,859.04 = 2,464.30 : x
  2. Step 2: Convert to fraction form
    5,239.36/7,859.04 = 2,464.30/x
  3. Step 3: Cross multiply
    5,239.36x = 7,859.04 × 2,464.30
  4. Step 4: Simplify right side
    5,239.36x = 19,367,032.27
  5. Step 5: Solve for x
    x = 19,367,032.27/5,239.36
  6. Step 6: Final answer
    x = 3,696.45

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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.