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Finding the Fourth Proportional to 4,476.52, 6,714.25 and 1,189.86

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Solution

The fourth proportional to 4,476.52, 6,714.25 and 1,189.86 is: 1,784.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,476.52 : 6,714.25 = 1,189.86 : x
  2. Step 2: Convert to fraction form
    4,476.52/6,714.25 = 1,189.86/x
  3. Step 3: Cross multiply
    4,476.52x = 6,714.25 × 1,189.86
  4. Step 4: Simplify right side
    4,476.52x = 7,989,017.51
  5. Step 5: Solve for x
    x = 7,989,017.51/4,476.52
  6. Step 6: Final answer
    x = 1,784.65

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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.