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Finding the Fourth Proportional to 4,768.29, 7,152.93 and 1,647.90

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Solution

The fourth proportional to 4,768.29, 7,152.93 and 1,647.90 is: 2,472.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.29 : 7,152.93 = 1,647.90 : x
  2. Step 2: Convert to fraction form
    4,768.29/7,152.93 = 1,647.90/x
  3. Step 3: Cross multiply
    4,768.29x = 7,152.93 × 1,647.90
  4. Step 4: Simplify right side
    4,768.29x = 11,787,313.35
  5. Step 5: Solve for x
    x = 11,787,313.35/4,768.29
  6. Step 6: Final answer
    x = 2,472.02

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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.