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Finding the Fourth Proportional to 4,157.76, 6,237.12 and 1,236.48

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Solution

The fourth proportional to 4,157.76, 6,237.12 and 1,236.48 is: 1,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.76 : 6,237.12 = 1,236.48 : x
  2. Step 2: Convert to fraction form
    4,157.76/6,237.12 = 1,236.48/x
  3. Step 3: Cross multiply
    4,157.76x = 6,237.12 × 1,236.48
  4. Step 4: Simplify right side
    4,157.76x = 7,712,074.14
  5. Step 5: Solve for x
    x = 7,712,074.14/4,157.76
  6. Step 6: Final answer
    x = 1,854.86

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