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Finding the Fourth Proportional to 3,896.26, 5,373.28 and 3,045.63

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Solution

The fourth proportional to 3,896.26, 5,373.28 and 3,045.63 is: 4,200.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.26 : 5,373.28 = 3,045.63 : x
  2. Step 2: Convert to fraction form
    3,896.26/5,373.28 = 3,045.63/x
  3. Step 3: Cross multiply
    3,896.26x = 5,373.28 × 3,045.63
  4. Step 4: Simplify right side
    3,896.26x = 16,364,988.29
  5. Step 5: Solve for x
    x = 16,364,988.29/3,896.26
  6. Step 6: Final answer
    x = 4,200.18

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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.