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Finding the Fourth Proportional to 5,778.50, 8,669.19 and 1,674.50

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Solution

The fourth proportional to 5,778.50, 8,669.19 and 1,674.50 is: 2,512.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.50 : 8,669.19 = 1,674.50 : x
  2. Step 2: Convert to fraction form
    5,778.50/8,669.19 = 1,674.50/x
  3. Step 3: Cross multiply
    5,778.50x = 8,669.19 × 1,674.50
  4. Step 4: Simplify right side
    5,778.50x = 14,516,558.66
  5. Step 5: Solve for x
    x = 14,516,558.66/5,778.50
  6. Step 6: Final answer
    x = 2,512.17

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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.