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Finding the Fourth Proportional to 4,476.51, 6,714.75 and 1,189.60

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Solution

The fourth proportional to 4,476.51, 6,714.75 and 1,189.60 is: 1,784.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.51 : 6,714.75 = 1,189.60 : x
  2. Step 2: Convert to fraction form
    4,476.51/6,714.75 = 1,189.60/x
  3. Step 3: Cross multiply
    4,476.51x = 6,714.75 × 1,189.60
  4. Step 4: Simplify right side
    4,476.51x = 7,987,879.14
  5. Step 5: Solve for x
    x = 7,987,879.14/4,476.51
  6. Step 6: Final answer
    x = 1,784.40

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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.