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Finding the Fourth Proportional to 5,771.76, 7,969.68 and 4,709.67

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Solution

The fourth proportional to 5,771.76, 7,969.68 and 4,709.67 is: 6,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,771.76 : 7,969.68 = 4,709.67 : x
  2. Step 2: Convert to fraction form
    5,771.76/7,969.68 = 4,709.67/x
  3. Step 3: Cross multiply
    5,771.76x = 7,969.68 × 4,709.67
  4. Step 4: Simplify right side
    5,771.76x = 37,534,562.81
  5. Step 5: Solve for x
    x = 37,534,562.81/5,771.76
  6. Step 6: Final answer
    x = 6,503.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.