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Finding the Fourth Proportional to 5,256.49, 7,861.49 and 4,675.57

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Solution

The fourth proportional to 5,256.49, 7,861.49 and 4,675.57 is: 6,992.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,256.49 : 7,861.49 = 4,675.57 : x
  2. Step 2: Convert to fraction form
    5,256.49/7,861.49 = 4,675.57/x
  3. Step 3: Cross multiply
    5,256.49x = 7,861.49 × 4,675.57
  4. Step 4: Simplify right side
    5,256.49x = 36,756,884.11
  5. Step 5: Solve for x
    x = 36,756,884.11/5,256.49
  6. Step 6: Final answer
    x = 6,992.67

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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.