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Finding the Fourth Proportional to 4,174.76, 6,283.04 and 3,140.12

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Solution

The fourth proportional to 4,174.76, 6,283.04 and 3,140.12 is: 4,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.76 : 6,283.04 = 3,140.12 : x
  2. Step 2: Convert to fraction form
    4,174.76/6,283.04 = 3,140.12/x
  3. Step 3: Cross multiply
    4,174.76x = 6,283.04 × 3,140.12
  4. Step 4: Simplify right side
    4,174.76x = 19,729,499.56
  5. Step 5: Solve for x
    x = 19,729,499.56/4,174.76
  6. Step 6: Final answer
    x = 4,725.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.