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Finding the Fourth Proportional to 4,759.74, 6,567.12 and 2,771.28

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Solution

The fourth proportional to 4,759.74, 6,567.12 and 2,771.28 is: 3,823.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.74 : 6,567.12 = 2,771.28 : x
  2. Step 2: Convert to fraction form
    4,759.74/6,567.12 = 2,771.28/x
  3. Step 3: Cross multiply
    4,759.74x = 6,567.12 × 2,771.28
  4. Step 4: Simplify right side
    4,759.74x = 18,199,328.31
  5. Step 5: Solve for x
    x = 18,199,328.31/4,759.74
  6. Step 6: Final answer
    x = 3,823.60

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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.