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Finding the Fourth Proportional to 5,877.14, 8,809.51 and 1,927.37

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Solution

The fourth proportional to 5,877.14, 8,809.51 and 1,927.37 is: 2,889.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,877.14 : 8,809.51 = 1,927.37 : x
  2. Step 2: Convert to fraction form
    5,877.14/8,809.51 = 1,927.37/x
  3. Step 3: Cross multiply
    5,877.14x = 8,809.51 × 1,927.37
  4. Step 4: Simplify right side
    5,877.14x = 16,979,141.24
  5. Step 5: Solve for x
    x = 16,979,141.24/5,877.14
  6. Step 6: Final answer
    x = 2,889.02

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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.