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Finding the Fourth Proportional to 5,106.72, 7,047.16 and 2,868.64

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Solution

The fourth proportional to 5,106.72, 7,047.16 and 2,868.64 is: 3,958.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,106.72 : 7,047.16 = 2,868.64 : x
  2. Step 2: Convert to fraction form
    5,106.72/7,047.16 = 2,868.64/x
  3. Step 3: Cross multiply
    5,106.72x = 7,047.16 × 2,868.64
  4. Step 4: Simplify right side
    5,106.72x = 20,215,765.06
  5. Step 5: Solve for x
    x = 20,215,765.06/5,106.72
  6. Step 6: Final answer
    x = 3,958.66

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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.