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Finding the Fourth Proportional to 4,939.53, 7,374.09 and 4,766.50

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Solution

The fourth proportional to 4,939.53, 7,374.09 and 4,766.50 is: 7,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,939.53 : 7,374.09 = 4,766.50 : x
  2. Step 2: Convert to fraction form
    4,939.53/7,374.09 = 4,766.50/x
  3. Step 3: Cross multiply
    4,939.53x = 7,374.09 × 4,766.50
  4. Step 4: Simplify right side
    4,939.53x = 35,148,558.79
  5. Step 5: Solve for x
    x = 35,148,558.79/4,939.53
  6. Step 6: Final answer
    x = 7,115.77

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.