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Finding the Fourth Proportional to 3,972.64, 5,475.93 and 3,131.98

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Solution

The fourth proportional to 3,972.64, 5,475.93 and 3,131.98 is: 4,317.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.64 : 5,475.93 = 3,131.98 : x
  2. Step 2: Convert to fraction form
    3,972.64/5,475.93 = 3,131.98/x
  3. Step 3: Cross multiply
    3,972.64x = 5,475.93 × 3,131.98
  4. Step 4: Simplify right side
    3,972.64x = 17,150,503.24
  5. Step 5: Solve for x
    x = 17,150,503.24/3,972.64
  6. Step 6: Final answer
    x = 4,317.16

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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.