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Finding the Fourth Proportional to 4,634.33, 6,958.42 and 4,565.14

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Solution

The fourth proportional to 4,634.33, 6,958.42 and 4,565.14 is: 6,854.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,634.33 : 6,958.42 = 4,565.14 : x
  2. Step 2: Convert to fraction form
    4,634.33/6,958.42 = 4,565.14/x
  3. Step 3: Cross multiply
    4,634.33x = 6,958.42 × 4,565.14
  4. Step 4: Simplify right side
    4,634.33x = 31,766,161.48
  5. Step 5: Solve for x
    x = 31,766,161.48/4,634.33
  6. Step 6: Final answer
    x = 6,854.53

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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.