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Finding the Fourth Proportional to 4,476.44, 6,714.20 and 1,189.86

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Solution

The fourth proportional to 4,476.44, 6,714.20 and 1,189.86 is: 1,784.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.44 : 6,714.20 = 1,189.86 : x
  2. Step 2: Convert to fraction form
    4,476.44/6,714.20 = 1,189.86/x
  3. Step 3: Cross multiply
    4,476.44x = 6,714.20 × 1,189.86
  4. Step 4: Simplify right side
    4,476.44x = 7,988,952.06
  5. Step 5: Solve for x
    x = 7,988,952.06/4,476.44
  6. Step 6: Final answer
    x = 1,784.67

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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.