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Finding the Fourth Proportional to 5,600.68, 7,729.32 and 3,709

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Solution

The fourth proportional to 5,600.68, 7,729.32 and 3,709 is: 5,118.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,600.68 : 7,729.32 = 3,709 : x
  2. Step 2: Convert to fraction form
    5,600.68/7,729.32 = 3,709/x
  3. Step 3: Cross multiply
    5,600.68x = 7,729.32 × 3,709
  4. Step 4: Simplify right side
    5,600.68x = 28,668,047.88
  5. Step 5: Solve for x
    x = 28,668,047.88/5,600.68
  6. Step 6: Final answer
    x = 5,118.67

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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.