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Finding the Fourth Proportional to 5,185.18, 7,768.65 and 4,255.70

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Solution

The fourth proportional to 5,185.18, 7,768.65 and 4,255.70 is: 6,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,185.18 : 7,768.65 = 4,255.70 : x
  2. Step 2: Convert to fraction form
    5,185.18/7,768.65 = 4,255.70/x
  3. Step 3: Cross multiply
    5,185.18x = 7,768.65 × 4,255.70
  4. Step 4: Simplify right side
    5,185.18x = 33,061,043.81
  5. Step 5: Solve for x
    x = 33,061,043.81/5,185.18
  6. Step 6: Final answer
    x = 6,376.07

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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.