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Finding the Fourth Proportional to 4,536.33, 6,807.54 and 1,614.66

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Solution

The fourth proportional to 4,536.33, 6,807.54 and 1,614.66 is: 2,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,536.33 : 6,807.54 = 1,614.66 : x
  2. Step 2: Convert to fraction form
    4,536.33/6,807.54 = 1,614.66/x
  3. Step 3: Cross multiply
    4,536.33x = 6,807.54 × 1,614.66
  4. Step 4: Simplify right side
    4,536.33x = 10,991,862.54
  5. Step 5: Solve for x
    x = 10,991,862.54/4,536.33
  6. Step 6: Final answer
    x = 2,423.07

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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.