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Finding the Fourth Proportional to 5,157.76, 7,726.56 and 4,119.88

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Solution

The fourth proportional to 5,157.76, 7,726.56 and 4,119.88 is: 6,171.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.76 : 7,726.56 = 4,119.88 : x
  2. Step 2: Convert to fraction form
    5,157.76/7,726.56 = 4,119.88/x
  3. Step 3: Cross multiply
    5,157.76x = 7,726.56 × 4,119.88
  4. Step 4: Simplify right side
    5,157.76x = 31,832,500.01
  5. Step 5: Solve for x
    x = 31,832,500.01/5,157.76
  6. Step 6: Final answer
    x = 6,171.77

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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.