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Finding the Fourth Proportional to 3,143.48, 4,715.64 and 1,063.67

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Solution

The fourth proportional to 3,143.48, 4,715.64 and 1,063.67 is: 1,595.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,143.48 : 4,715.64 = 1,063.67 : x
  2. Step 2: Convert to fraction form
    3,143.48/4,715.64 = 1,063.67/x
  3. Step 3: Cross multiply
    3,143.48x = 4,715.64 × 1,063.67
  4. Step 4: Simplify right side
    3,143.48x = 5,015,861.22
  5. Step 5: Solve for x
    x = 5,015,861.22/3,143.48
  6. Step 6: Final answer
    x = 1,595.64

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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.