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Finding the Fourth Proportional to 5,748.09, 8,622.80 and 2,050.84

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Solution

The fourth proportional to 5,748.09, 8,622.80 and 2,050.84 is: 3,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.09 : 8,622.80 = 2,050.84 : x
  2. Step 2: Convert to fraction form
    5,748.09/8,622.80 = 2,050.84/x
  3. Step 3: Cross multiply
    5,748.09x = 8,622.80 × 2,050.84
  4. Step 4: Simplify right side
    5,748.09x = 17,683,983.15
  5. Step 5: Solve for x
    x = 17,683,983.15/5,748.09
  6. Step 6: Final answer
    x = 3,076.50

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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.