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Finding the Fourth Proportional to 3,971.64, 5,477.04 and 3,177.48

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Solution

The fourth proportional to 3,971.64, 5,477.04 and 3,177.48 is: 4,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.64 : 5,477.04 = 3,177.48 : x
  2. Step 2: Convert to fraction form
    3,971.64/5,477.04 = 3,177.48/x
  3. Step 3: Cross multiply
    3,971.64x = 5,477.04 × 3,177.48
  4. Step 4: Simplify right side
    3,971.64x = 17,403,185.06
  5. Step 5: Solve for x
    x = 17,403,185.06/3,971.64
  6. Step 6: Final answer
    x = 4,381.86

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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.