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Finding the Fourth Proportional to 3,763.49, 5,643.86 and 1,681.43

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Solution

The fourth proportional to 3,763.49, 5,643.86 and 1,681.43 is: 2,521.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.49 : 5,643.86 = 1,681.43 : x
  2. Step 2: Convert to fraction form
    3,763.49/5,643.86 = 1,681.43/x
  3. Step 3: Cross multiply
    3,763.49x = 5,643.86 × 1,681.43
  4. Step 4: Simplify right side
    3,763.49x = 9,489,718.89
  5. Step 5: Solve for x
    x = 9,489,718.89/3,763.49
  6. Step 6: Final answer
    x = 2,521.52

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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.