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Finding the Fourth Proportional to 4,476.48, 6,714.20 and 1,189.83

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Solution

The fourth proportional to 4,476.48, 6,714.20 and 1,189.83 is: 1,784.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.48 : 6,714.20 = 1,189.83 : x
  2. Step 2: Convert to fraction form
    4,476.48/6,714.20 = 1,189.83/x
  3. Step 3: Cross multiply
    4,476.48x = 6,714.20 × 1,189.83
  4. Step 4: Simplify right side
    4,476.48x = 7,988,756.59
  5. Step 5: Solve for x
    x = 7,988,756.59/4,476.48
  6. Step 6: Final answer
    x = 1,784.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.