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Finding the Fourth Proportional to 4,156.20, 5,731.02 and 4,114.08

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Solution

The fourth proportional to 4,156.20, 5,731.02 and 4,114.08 is: 5,672.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.20 : 5,731.02 = 4,114.08 : x
  2. Step 2: Convert to fraction form
    4,156.20/5,731.02 = 4,114.08/x
  3. Step 3: Cross multiply
    4,156.20x = 5,731.02 × 4,114.08
  4. Step 4: Simplify right side
    4,156.20x = 23,577,874.76
  5. Step 5: Solve for x
    x = 23,577,874.76/4,156.20
  6. Step 6: Final answer
    x = 5,672.94

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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.