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Finding the Fourth Proportional to 4,758.64, 6,567.54 and 2,769.80

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Solution

The fourth proportional to 4,758.64, 6,567.54 and 2,769.80 is: 3,822.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,758.64 : 6,567.54 = 2,769.80 : x
  2. Step 2: Convert to fraction form
    4,758.64/6,567.54 = 2,769.80/x
  3. Step 3: Cross multiply
    4,758.64x = 6,567.54 × 2,769.80
  4. Step 4: Simplify right side
    4,758.64x = 18,190,772.29
  5. Step 5: Solve for x
    x = 18,190,772.29/4,758.64
  6. Step 6: Final answer
    x = 3,822.68

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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.