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Finding the Fourth Proportional to 3,972.63, 5,958.43 and 1,051.16

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Solution

The fourth proportional to 3,972.63, 5,958.43 and 1,051.16 is: 1,576.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.63 : 5,958.43 = 1,051.16 : x
  2. Step 2: Convert to fraction form
    3,972.63/5,958.43 = 1,051.16/x
  3. Step 3: Cross multiply
    3,972.63x = 5,958.43 × 1,051.16
  4. Step 4: Simplify right side
    3,972.63x = 6,263,263.28
  5. Step 5: Solve for x
    x = 6,263,263.28/3,972.63
  6. Step 6: Final answer
    x = 1,576.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.