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Finding the Fourth Proportional to 3,707.50, 5,126.19 and 3,240.41

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Solution

The fourth proportional to 3,707.50, 5,126.19 and 3,240.41 is: 4,480.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,707.50 : 5,126.19 = 3,240.41 : x
  2. Step 2: Convert to fraction form
    3,707.50/5,126.19 = 3,240.41/x
  3. Step 3: Cross multiply
    3,707.50x = 5,126.19 × 3,240.41
  4. Step 4: Simplify right side
    3,707.50x = 16,610,990.15
  5. Step 5: Solve for x
    x = 16,610,990.15/3,707.50
  6. Step 6: Final answer
    x = 4,480.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.