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Finding the Fourth Proportional to 4,536.64, 6,804.24 and 1,614.52

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Solution

The fourth proportional to 4,536.64, 6,804.24 and 1,614.52 is: 2,421.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.64 : 6,804.24 = 1,614.52 : x
  2. Step 2: Convert to fraction form
    4,536.64/6,804.24 = 1,614.52/x
  3. Step 3: Cross multiply
    4,536.64x = 6,804.24 × 1,614.52
  4. Step 4: Simplify right side
    4,536.64x = 10,985,581.56
  5. Step 5: Solve for x
    x = 10,985,581.56/4,536.64
  6. Step 6: Final answer
    x = 2,421.52

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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.