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Finding the Fourth Proportional to 5,732.78, 8,595.82 and 1,782.96

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Solution

The fourth proportional to 5,732.78, 8,595.82 and 1,782.96 is: 2,673.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.78 : 8,595.82 = 1,782.96 : x
  2. Step 2: Convert to fraction form
    5,732.78/8,595.82 = 1,782.96/x
  3. Step 3: Cross multiply
    5,732.78x = 8,595.82 × 1,782.96
  4. Step 4: Simplify right side
    5,732.78x = 15,326,003.23
  5. Step 5: Solve for x
    x = 15,326,003.23/5,732.78
  6. Step 6: Final answer
    x = 2,673.40

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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.