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Finding the Fourth Proportional to 3,866.63, 5,330.96 and 3,157.72

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Solution

The fourth proportional to 3,866.63, 5,330.96 and 3,157.72 is: 4,353.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.63 : 5,330.96 = 3,157.72 : x
  2. Step 2: Convert to fraction form
    3,866.63/5,330.96 = 3,157.72/x
  3. Step 3: Cross multiply
    3,866.63x = 5,330.96 × 3,157.72
  4. Step 4: Simplify right side
    3,866.63x = 16,833,661.74
  5. Step 5: Solve for x
    x = 16,833,661.74/3,866.63
  6. Step 6: Final answer
    x = 4,353.58

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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.