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Finding the Fourth Proportional to 4,536.57, 6,800.76 and 1,614.20

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Solution

The fourth proportional to 4,536.57, 6,800.76 and 1,614.20 is: 2,419.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.57 : 6,800.76 = 1,614.20 : x
  2. Step 2: Convert to fraction form
    4,536.57/6,800.76 = 1,614.20/x
  3. Step 3: Cross multiply
    4,536.57x = 6,800.76 × 1,614.20
  4. Step 4: Simplify right side
    4,536.57x = 10,977,752.79
  5. Step 5: Solve for x
    x = 10,977,752.79/4,536.57
  6. Step 6: Final answer
    x = 2,419.84

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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.