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Finding the Fourth Proportional to 5,146.89, 7,730.88 and 3,394.41

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Solution

The fourth proportional to 5,146.89, 7,730.88 and 3,394.41 is: 5,098.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.89 : 7,730.88 = 3,394.41 : x
  2. Step 2: Convert to fraction form
    5,146.89/7,730.88 = 3,394.41/x
  3. Step 3: Cross multiply
    5,146.89x = 7,730.88 × 3,394.41
  4. Step 4: Simplify right side
    5,146.89x = 26,241,776.38
  5. Step 5: Solve for x
    x = 26,241,776.38/5,146.89
  6. Step 6: Final answer
    x = 5,098.57

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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.