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Finding the Fourth Proportional to 4,309.05, 6,464.08 and 1,536.11

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Solution

The fourth proportional to 4,309.05, 6,464.08 and 1,536.11 is: 2,304.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.05 : 6,464.08 = 1,536.11 : x
  2. Step 2: Convert to fraction form
    4,309.05/6,464.08 = 1,536.11/x
  3. Step 3: Cross multiply
    4,309.05x = 6,464.08 × 1,536.11
  4. Step 4: Simplify right side
    4,309.05x = 9,929,563.81
  5. Step 5: Solve for x
    x = 9,929,563.81/4,309.05
  6. Step 6: Final answer
    x = 2,304.35

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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.