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Finding the Fourth Proportional to 3,734.94, 5,603.85 and 1,681.50

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Solution

The fourth proportional to 3,734.94, 5,603.85 and 1,681.50 is: 2,522.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.94 : 5,603.85 = 1,681.50 : x
  2. Step 2: Convert to fraction form
    3,734.94/5,603.85 = 1,681.50/x
  3. Step 3: Cross multiply
    3,734.94x = 5,603.85 × 1,681.50
  4. Step 4: Simplify right side
    3,734.94x = 9,422,873.78
  5. Step 5: Solve for x
    x = 9,422,873.78/3,734.94
  6. Step 6: Final answer
    x = 2,522.90

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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.