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Finding the Fourth Proportional to 5,235.36, 7,218.09 and 4,287.66

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Solution

The fourth proportional to 5,235.36, 7,218.09 and 4,287.66 is: 5,911.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,235.36 : 7,218.09 = 4,287.66 : x
  2. Step 2: Convert to fraction form
    5,235.36/7,218.09 = 4,287.66/x
  3. Step 3: Cross multiply
    5,235.36x = 7,218.09 × 4,287.66
  4. Step 4: Simplify right side
    5,235.36x = 30,948,715.77
  5. Step 5: Solve for x
    x = 30,948,715.77/5,235.36
  6. Step 6: Final answer
    x = 5,911.48

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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.