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Finding the Fourth Proportional to 5,769.90, 8,655.93 and 1,874.34

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Solution

The fourth proportional to 5,769.90, 8,655.93 and 1,874.34 is: 2,811.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.90 : 8,655.93 = 1,874.34 : x
  2. Step 2: Convert to fraction form
    5,769.90/8,655.93 = 1,874.34/x
  3. Step 3: Cross multiply
    5,769.90x = 8,655.93 × 1,874.34
  4. Step 4: Simplify right side
    5,769.90x = 16,224,155.84
  5. Step 5: Solve for x
    x = 16,224,155.84/5,769.90
  6. Step 6: Final answer
    x = 2,811.86

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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.