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Finding the Fourth Proportional to 4,765.20, 6,576 and 2,669.32

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Solution

The fourth proportional to 4,765.20, 6,576 and 2,669.32 is: 3,683.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,765.20 : 6,576 = 2,669.32 : x
  2. Step 2: Convert to fraction form
    4,765.20/6,576 = 2,669.32/x
  3. Step 3: Cross multiply
    4,765.20x = 6,576 × 2,669.32
  4. Step 4: Simplify right side
    4,765.20x = 17,553,448.32
  5. Step 5: Solve for x
    x = 17,553,448.32/4,765.20
  6. Step 6: Final answer
    x = 3,683.68

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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.