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Finding the Fourth Proportional to 4,458.16, 6,687.24 and 1,536.22

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Solution

The fourth proportional to 4,458.16, 6,687.24 and 1,536.22 is: 2,304.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,458.16 : 6,687.24 = 1,536.22 : x
  2. Step 2: Convert to fraction form
    4,458.16/6,687.24 = 1,536.22/x
  3. Step 3: Cross multiply
    4,458.16x = 6,687.24 × 1,536.22
  4. Step 4: Simplify right side
    4,458.16x = 10,273,071.83
  5. Step 5: Solve for x
    x = 10,273,071.83/4,458.16
  6. Step 6: Final answer
    x = 2,304.33

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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.