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Finding the Fourth Proportional to 3,752.52, 5,627.70 and 1,119.90

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Solution

The fourth proportional to 3,752.52, 5,627.70 and 1,119.90 is: 1,679.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,752.52 : 5,627.70 = 1,119.90 : x
  2. Step 2: Convert to fraction form
    3,752.52/5,627.70 = 1,119.90/x
  3. Step 3: Cross multiply
    3,752.52x = 5,627.70 × 1,119.90
  4. Step 4: Simplify right side
    3,752.52x = 6,302,461.23
  5. Step 5: Solve for x
    x = 6,302,461.23/3,752.52
  6. Step 6: Final answer
    x = 1,679.53

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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.