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Finding the Fourth Proportional to 4,977.84, 7,467.84 and 1,515

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Solution

The fourth proportional to 4,977.84, 7,467.84 and 1,515 is: 2,272.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.84 : 7,467.84 = 1,515 : x
  2. Step 2: Convert to fraction form
    4,977.84/7,467.84 = 1,515/x
  3. Step 3: Cross multiply
    4,977.84x = 7,467.84 × 1,515
  4. Step 4: Simplify right side
    4,977.84x = 11,313,777.60
  5. Step 5: Solve for x
    x = 11,313,777.60/4,977.84
  6. Step 6: Final answer
    x = 2,272.83

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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.