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Finding the Fourth Proportional to 4,532.81, 6,255.77 and 2,764.40

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Solution

The fourth proportional to 4,532.81, 6,255.77 and 2,764.40 is: 3,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.81 : 6,255.77 = 2,764.40 : x
  2. Step 2: Convert to fraction form
    4,532.81/6,255.77 = 2,764.40/x
  3. Step 3: Cross multiply
    4,532.81x = 6,255.77 × 2,764.40
  4. Step 4: Simplify right side
    4,532.81x = 17,293,405.49
  5. Step 5: Solve for x
    x = 17,293,405.49/4,532.81
  6. Step 6: Final answer
    x = 3,815.17

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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.