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Finding the Fourth Proportional to 3,125.34, 4,683.38 and 1,274.22

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Solution

The fourth proportional to 3,125.34, 4,683.38 and 1,274.22 is: 1,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,125.34 : 4,683.38 = 1,274.22 : x
  2. Step 2: Convert to fraction form
    3,125.34/4,683.38 = 1,274.22/x
  3. Step 3: Cross multiply
    3,125.34x = 4,683.38 × 1,274.22
  4. Step 4: Simplify right side
    3,125.34x = 5,967,650.09
  5. Step 5: Solve for x
    x = 5,967,650.09/3,125.34
  6. Step 6: Final answer
    x = 1,909.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.