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Finding the Fourth Proportional to 3,778.50, 5,668.07 and 1,042.50

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Solution

The fourth proportional to 3,778.50, 5,668.07 and 1,042.50 is: 1,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.50 : 5,668.07 = 1,042.50 : x
  2. Step 2: Convert to fraction form
    3,778.50/5,668.07 = 1,042.50/x
  3. Step 3: Cross multiply
    3,778.50x = 5,668.07 × 1,042.50
  4. Step 4: Simplify right side
    3,778.50x = 5,908,962.98
  5. Step 5: Solve for x
    x = 5,908,962.98/3,778.50
  6. Step 6: Final answer
    x = 1,563.84

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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.