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Finding the Fourth Proportional to 5,809.92, 8,714.75 and 1,427.36

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Solution

The fourth proportional to 5,809.92, 8,714.75 and 1,427.36 is: 2,141.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.92 : 8,714.75 = 1,427.36 : x
  2. Step 2: Convert to fraction form
    5,809.92/8,714.75 = 1,427.36/x
  3. Step 3: Cross multiply
    5,809.92x = 8,714.75 × 1,427.36
  4. Step 4: Simplify right side
    5,809.92x = 12,439,034.85
  5. Step 5: Solve for x
    x = 12,439,034.85/5,809.92
  6. Step 6: Final answer
    x = 2,141.00

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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.