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Finding the Fourth Proportional to 5,784.95, 8,676.12 and 2,661.96

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Solution

The fourth proportional to 5,784.95, 8,676.12 and 2,661.96 is: 3,992.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,784.95 : 8,676.12 = 2,661.96 : x
  2. Step 2: Convert to fraction form
    5,784.95/8,676.12 = 2,661.96/x
  3. Step 3: Cross multiply
    5,784.95x = 8,676.12 × 2,661.96
  4. Step 4: Simplify right side
    5,784.95x = 23,095,484.40
  5. Step 5: Solve for x
    x = 23,095,484.40/5,784.95
  6. Step 6: Final answer
    x = 3,992.34

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Why These Related Problems?

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