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Finding the Fourth Proportional to 4,534.28, 6,252.22 and 2,853.63

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Solution

The fourth proportional to 4,534.28, 6,252.22 and 2,853.63 is: 3,934.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,534.28 : 6,252.22 = 2,853.63 : x
  2. Step 2: Convert to fraction form
    4,534.28/6,252.22 = 2,853.63/x
  3. Step 3: Cross multiply
    4,534.28x = 6,252.22 × 2,853.63
  4. Step 4: Simplify right side
    4,534.28x = 17,841,522.56
  5. Step 5: Solve for x
    x = 17,841,522.56/4,534.28
  6. Step 6: Final answer
    x = 3,934.81

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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.