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Finding the Fourth Proportional to 5,889.34, 8,127.43 and 3,237

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Solution

The fourth proportional to 5,889.34, 8,127.43 and 3,237 is: 4,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.34 : 8,127.43 = 3,237 : x
  2. Step 2: Convert to fraction form
    5,889.34/8,127.43 = 3,237/x
  3. Step 3: Cross multiply
    5,889.34x = 8,127.43 × 3,237
  4. Step 4: Simplify right side
    5,889.34x = 26,308,490.91
  5. Step 5: Solve for x
    x = 26,308,490.91/5,889.34
  6. Step 6: Final answer
    x = 4,467.14

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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.