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Finding the Fourth Proportional to 4,465.88, 6,693.96 and 3,814.64

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Solution

The fourth proportional to 4,465.88, 6,693.96 and 3,814.64 is: 5,717.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,465.88 : 6,693.96 = 3,814.64 : x
  2. Step 2: Convert to fraction form
    4,465.88/6,693.96 = 3,814.64/x
  3. Step 3: Cross multiply
    4,465.88x = 6,693.96 × 3,814.64
  4. Step 4: Simplify right side
    4,465.88x = 25,535,047.57
  5. Step 5: Solve for x
    x = 25,535,047.57/4,465.88
  6. Step 6: Final answer
    x = 5,717.81

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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.