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Finding the Fourth Proportional to 5,780.35, 8,664.94 and 2,662.50

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Solution

The fourth proportional to 5,780.35, 8,664.94 and 2,662.50 is: 3,991.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,780.35 : 8,664.94 = 2,662.50 : x
  2. Step 2: Convert to fraction form
    5,780.35/8,664.94 = 2,662.50/x
  3. Step 3: Cross multiply
    5,780.35x = 8,664.94 × 2,662.50
  4. Step 4: Simplify right side
    5,780.35x = 23,070,389.44
  5. Step 5: Solve for x
    x = 23,070,389.44/5,780.35
  6. Step 6: Final answer
    x = 3,991.18

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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.