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Finding the Fourth Proportional to 4,309.30, 6,465.12 and 1,536.27

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Solution

The fourth proportional to 4,309.30, 6,465.12 and 1,536.27 is: 2,304.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,309.30 : 6,465.12 = 1,536.27 : x
  2. Step 2: Convert to fraction form
    4,309.30/6,465.12 = 1,536.27/x
  3. Step 3: Cross multiply
    4,309.30x = 6,465.12 × 1,536.27
  4. Step 4: Simplify right side
    4,309.30x = 9,932,139.90
  5. Step 5: Solve for x
    x = 9,932,139.90/4,309.30
  6. Step 6: Final answer
    x = 2,304.81

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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.