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Finding the Fourth Proportional to 4,852.56, 7,288.44 and 4,158.96

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Solution

The fourth proportional to 4,852.56, 7,288.44 and 4,158.96 is: 6,246.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,852.56 : 7,288.44 = 4,158.96 : x
  2. Step 2: Convert to fraction form
    4,852.56/7,288.44 = 4,158.96/x
  3. Step 3: Cross multiply
    4,852.56x = 7,288.44 × 4,158.96
  4. Step 4: Simplify right side
    4,852.56x = 30,312,330.42
  5. Step 5: Solve for x
    x = 30,312,330.42/4,852.56
  6. Step 6: Final answer
    x = 6,246.67

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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.