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Finding the Fourth Proportional to 3,756.63, 5,635.71 and 1,124.20

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Solution

The fourth proportional to 3,756.63, 5,635.71 and 1,124.20 is: 1,686.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,756.63 : 5,635.71 = 1,124.20 : x
  2. Step 2: Convert to fraction form
    3,756.63/5,635.71 = 1,124.20/x
  3. Step 3: Cross multiply
    3,756.63x = 5,635.71 × 1,124.20
  4. Step 4: Simplify right side
    3,756.63x = 6,335,672.23
  5. Step 5: Solve for x
    x = 6,335,672.23/3,756.63
  6. Step 6: Final answer
    x = 1,686.53

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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.