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Finding the Fourth Proportional to 4,157.64, 6,233.19 and 2,076.57

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Solution

The fourth proportional to 4,157.64, 6,233.19 and 2,076.57 is: 3,113.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.64 : 6,233.19 = 2,076.57 : x
  2. Step 2: Convert to fraction form
    4,157.64/6,233.19 = 2,076.57/x
  3. Step 3: Cross multiply
    4,157.64x = 6,233.19 × 2,076.57
  4. Step 4: Simplify right side
    4,157.64x = 12,943,655.36
  5. Step 5: Solve for x
    x = 12,943,655.36/4,157.64
  6. Step 6: Final answer
    x = 3,113.22

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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.