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Finding the Fourth Proportional to 5,953.31, 8,929.87 and 1,450.42

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Solution

The fourth proportional to 5,953.31, 8,929.87 and 1,450.42 is: 2,175.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,953.31 : 8,929.87 = 1,450.42 : x
  2. Step 2: Convert to fraction form
    5,953.31/8,929.87 = 1,450.42/x
  3. Step 3: Cross multiply
    5,953.31x = 8,929.87 × 1,450.42
  4. Step 4: Simplify right side
    5,953.31x = 12,952,035.88
  5. Step 5: Solve for x
    x = 12,952,035.88/5,953.31
  6. Step 6: Final answer
    x = 2,175.60

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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.