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Finding the Fourth Proportional to 4,596.67, 6,894.35 and 1,476.27

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Solution

The fourth proportional to 4,596.67, 6,894.35 and 1,476.27 is: 2,214.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.67 : 6,894.35 = 1,476.27 : x
  2. Step 2: Convert to fraction form
    4,596.67/6,894.35 = 1,476.27/x
  3. Step 3: Cross multiply
    4,596.67x = 6,894.35 × 1,476.27
  4. Step 4: Simplify right side
    4,596.67x = 10,177,922.07
  5. Step 5: Solve for x
    x = 10,177,922.07/4,596.67
  6. Step 6: Final answer
    x = 2,214.19

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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.