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Finding the Fourth Proportional to 5,157.84, 7,729.56 and 2,558.16

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Solution

The fourth proportional to 5,157.84, 7,729.56 and 2,558.16 is: 3,833.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,157.84 : 7,729.56 = 2,558.16 : x
  2. Step 2: Convert to fraction form
    5,157.84/7,729.56 = 2,558.16/x
  3. Step 3: Cross multiply
    5,157.84x = 7,729.56 × 2,558.16
  4. Step 4: Simplify right side
    5,157.84x = 19,773,451.21
  5. Step 5: Solve for x
    x = 19,773,451.21/5,157.84
  6. Step 6: Final answer
    x = 3,833.67

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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.