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Finding the Fourth Proportional to 5,809.55, 8,714.50 and 1,427.01

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Solution

The fourth proportional to 5,809.55, 8,714.50 and 1,427.01 is: 2,140.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,809.55 : 8,714.50 = 1,427.01 : x
  2. Step 2: Convert to fraction form
    5,809.55/8,714.50 = 1,427.01/x
  3. Step 3: Cross multiply
    5,809.55x = 8,714.50 × 1,427.01
  4. Step 4: Simplify right side
    5,809.55x = 12,435,678.65
  5. Step 5: Solve for x
    x = 12,435,678.65/5,809.55
  6. Step 6: Final answer
    x = 2,140.56

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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.