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Finding the Fourth Proportional to 4,594.29, 6,894.90 and 3,364.89

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Solution

The fourth proportional to 4,594.29, 6,894.90 and 3,364.89 is: 5,049.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,594.29 : 6,894.90 = 3,364.89 : x
  2. Step 2: Convert to fraction form
    4,594.29/6,894.90 = 3,364.89/x
  3. Step 3: Cross multiply
    4,594.29x = 6,894.90 × 3,364.89
  4. Step 4: Simplify right side
    4,594.29x = 23,200,537.17
  5. Step 5: Solve for x
    x = 23,200,537.17/4,594.29
  6. Step 6: Final answer
    x = 5,049.87

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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.