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Finding the Fourth Proportional to 4,514.84, 6,775.52 and 2,784.68

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Solution

The fourth proportional to 4,514.84, 6,775.52 and 2,784.68 is: 4,179.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514.84 : 6,775.52 = 2,784.68 : x
  2. Step 2: Convert to fraction form
    4,514.84/6,775.52 = 2,784.68/x
  3. Step 3: Cross multiply
    4,514.84x = 6,775.52 × 2,784.68
  4. Step 4: Simplify right side
    4,514.84x = 18,867,655.03
  5. Step 5: Solve for x
    x = 18,867,655.03/4,514.84
  6. Step 6: Final answer
    x = 4,179.03

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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.