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Finding the Fourth Proportional to 4,855.92, 7,283.88 and 4,123.68

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Solution

The fourth proportional to 4,855.92, 7,283.88 and 4,123.68 is: 6,185.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,855.92 : 7,283.88 = 4,123.68 : x
  2. Step 2: Convert to fraction form
    4,855.92/7,283.88 = 4,123.68/x
  3. Step 3: Cross multiply
    4,855.92x = 7,283.88 × 4,123.68
  4. Step 4: Simplify right side
    4,855.92x = 30,036,390.28
  5. Step 5: Solve for x
    x = 30,036,390.28/4,855.92
  6. Step 6: Final answer
    x = 6,185.52

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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.