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Finding the Fourth Proportional to 3,126.49, 4,689.73 and 935.23

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Solution

The fourth proportional to 3,126.49, 4,689.73 and 935.23 is: 1,402.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,126.49 : 4,689.73 = 935.23 : x
  2. Step 2: Convert to fraction form
    3,126.49/4,689.73 = 935.23/x
  3. Step 3: Cross multiply
    3,126.49x = 4,689.73 × 935.23
  4. Step 4: Simplify right side
    3,126.49x = 4,385,976.19
  5. Step 5: Solve for x
    x = 4,385,976.19/3,126.49
  6. Step 6: Final answer
    x = 1,402.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.