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Finding the Fourth Proportional to 5,228.65, 7,844.04 and 4,705.81

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Solution

The fourth proportional to 5,228.65, 7,844.04 and 4,705.81 is: 7,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.65 : 7,844.04 = 4,705.81 : x
  2. Step 2: Convert to fraction form
    5,228.65/7,844.04 = 4,705.81/x
  3. Step 3: Cross multiply
    5,228.65x = 7,844.04 × 4,705.81
  4. Step 4: Simplify right side
    5,228.65x = 36,912,561.87
  5. Step 5: Solve for x
    x = 36,912,561.87/5,228.65
  6. Step 6: Final answer
    x = 7,059.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.