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Finding the Fourth Proportional to 4,768.96, 6,580.02 and 3,651.16

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Solution

The fourth proportional to 4,768.96, 6,580.02 and 3,651.16 is: 5,037.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.96 : 6,580.02 = 3,651.16 : x
  2. Step 2: Convert to fraction form
    4,768.96/6,580.02 = 3,651.16/x
  3. Step 3: Cross multiply
    4,768.96x = 6,580.02 × 3,651.16
  4. Step 4: Simplify right side
    4,768.96x = 24,024,705.82
  5. Step 5: Solve for x
    x = 24,024,705.82/4,768.96
  6. Step 6: Final answer
    x = 5,037.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.