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Finding the Fourth Proportional to 3,969.74, 5,953.80 and 1,503.71

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Solution

The fourth proportional to 3,969.74, 5,953.80 and 1,503.71 is: 2,255.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.74 : 5,953.80 = 1,503.71 : x
  2. Step 2: Convert to fraction form
    3,969.74/5,953.80 = 1,503.71/x
  3. Step 3: Cross multiply
    3,969.74x = 5,953.80 × 1,503.71
  4. Step 4: Simplify right side
    3,969.74x = 8,952,788.60
  5. Step 5: Solve for x
    x = 8,952,788.60/3,969.74
  6. Step 6: Final answer
    x = 2,255.26

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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.