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Finding the Fourth Proportional to 3,775.76, 5,653.56 and 2,214.48

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Solution

The fourth proportional to 3,775.76, 5,653.56 and 2,214.48 is: 3,315.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.76 : 5,653.56 = 2,214.48 : x
  2. Step 2: Convert to fraction form
    3,775.76/5,653.56 = 2,214.48/x
  3. Step 3: Cross multiply
    3,775.76x = 5,653.56 × 2,214.48
  4. Step 4: Simplify right side
    3,775.76x = 12,519,695.55
  5. Step 5: Solve for x
    x = 12,519,695.55/3,775.76
  6. Step 6: Final answer
    x = 3,315.81

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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.