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Finding the Fourth Proportional to 5,054.26, 6,971.72 and 3,615.97

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Solution

The fourth proportional to 5,054.26, 6,971.72 and 3,615.97 is: 4,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,054.26 : 6,971.72 = 3,615.97 : x
  2. Step 2: Convert to fraction form
    5,054.26/6,971.72 = 3,615.97/x
  3. Step 3: Cross multiply
    5,054.26x = 6,971.72 × 3,615.97
  4. Step 4: Simplify right side
    5,054.26x = 25,209,477.43
  5. Step 5: Solve for x
    x = 25,209,477.43/5,054.26
  6. Step 6: Final answer
    x = 4,987.77

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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.