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Finding the Fourth Proportional to 5,245.71, 7,868.58 and 2,125.77

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Solution

The fourth proportional to 5,245.71, 7,868.58 and 2,125.77 is: 3,188.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,245.71 : 7,868.58 = 2,125.77 : x
  2. Step 2: Convert to fraction form
    5,245.71/7,868.58 = 2,125.77/x
  3. Step 3: Cross multiply
    5,245.71x = 7,868.58 × 2,125.77
  4. Step 4: Simplify right side
    5,245.71x = 16,726,810.05
  5. Step 5: Solve for x
    x = 16,726,810.05/5,245.71
  6. Step 6: Final answer
    x = 3,188.67

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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.