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Finding the Fourth Proportional to 4,614.58, 6,921.84 and 1,693.72

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Solution

The fourth proportional to 4,614.58, 6,921.84 and 1,693.72 is: 2,540.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.58 : 6,921.84 = 1,693.72 : x
  2. Step 2: Convert to fraction form
    4,614.58/6,921.84 = 1,693.72/x
  3. Step 3: Cross multiply
    4,614.58x = 6,921.84 × 1,693.72
  4. Step 4: Simplify right side
    4,614.58x = 11,723,658.84
  5. Step 5: Solve for x
    x = 11,723,658.84/4,614.58
  6. Step 6: Final answer
    x = 2,540.57

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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.