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Finding the Fourth Proportional to 4,823.82, 7,223.04 and 3,881.70

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Solution

The fourth proportional to 4,823.82, 7,223.04 and 3,881.70 is: 5,812.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,823.82 : 7,223.04 = 3,881.70 : x
  2. Step 2: Convert to fraction form
    4,823.82/7,223.04 = 3,881.70/x
  3. Step 3: Cross multiply
    4,823.82x = 7,223.04 × 3,881.70
  4. Step 4: Simplify right side
    4,823.82x = 28,037,674.37
  5. Step 5: Solve for x
    x = 28,037,674.37/4,823.82
  6. Step 6: Final answer
    x = 5,812.34

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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.