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Finding the Fourth Proportional to 4,309.96, 6,464.23 and 1,536.22

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Solution

The fourth proportional to 4,309.96, 6,464.23 and 1,536.22 is: 2,304.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.96 : 6,464.23 = 1,536.22 : x
  2. Step 2: Convert to fraction form
    4,309.96/6,464.23 = 1,536.22/x
  3. Step 3: Cross multiply
    4,309.96x = 6,464.23 × 1,536.22
  4. Step 4: Simplify right side
    4,309.96x = 9,930,479.41
  5. Step 5: Solve for x
    x = 9,930,479.41/4,309.96
  6. Step 6: Final answer
    x = 2,304.08

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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.