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Finding the Fourth Proportional to 4,881.42, 7,324.05 and 2,143.50

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Solution

The fourth proportional to 4,881.42, 7,324.05 and 2,143.50 is: 3,216.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,881.42 : 7,324.05 = 2,143.50 : x
  2. Step 2: Convert to fraction form
    4,881.42/7,324.05 = 2,143.50/x
  3. Step 3: Cross multiply
    4,881.42x = 7,324.05 × 2,143.50
  4. Step 4: Simplify right side
    4,881.42x = 15,699,101.18
  5. Step 5: Solve for x
    x = 15,699,101.18/4,881.42
  6. Step 6: Final answer
    x = 3,216.09

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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.