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Finding the Fourth Proportional to 5,609.32, 7,736.31 and 4,935.67

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Solution

The fourth proportional to 5,609.32, 7,736.31 and 4,935.67 is: 6,807.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.32 : 7,736.31 = 4,935.67 : x
  2. Step 2: Convert to fraction form
    5,609.32/7,736.31 = 4,935.67/x
  3. Step 3: Cross multiply
    5,609.32x = 7,736.31 × 4,935.67
  4. Step 4: Simplify right side
    5,609.32x = 38,183,873.18
  5. Step 5: Solve for x
    x = 38,183,873.18/5,609.32
  6. Step 6: Final answer
    x = 6,807.22

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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.