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Finding the Fourth Proportional to 4,614.12, 6,920.64 and 1,536.12

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Solution

The fourth proportional to 4,614.12, 6,920.64 and 1,536.12 is: 2,304.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.12 : 6,920.64 = 1,536.12 : x
  2. Step 2: Convert to fraction form
    4,614.12/6,920.64 = 1,536.12/x
  3. Step 3: Cross multiply
    4,614.12x = 6,920.64 × 1,536.12
  4. Step 4: Simplify right side
    4,614.12x = 10,630,933.52
  5. Step 5: Solve for x
    x = 10,630,933.52/4,614.12
  6. Step 6: Final answer
    x = 2,304.00

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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.