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Finding the Fourth Proportional to 3,361.47, 5,038.95 and 1,280.85

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Solution

The fourth proportional to 3,361.47, 5,038.95 and 1,280.85 is: 1,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.47 : 5,038.95 = 1,280.85 : x
  2. Step 2: Convert to fraction form
    3,361.47/5,038.95 = 1,280.85/x
  3. Step 3: Cross multiply
    3,361.47x = 5,038.95 × 1,280.85
  4. Step 4: Simplify right side
    3,361.47x = 6,454,139.11
  5. Step 5: Solve for x
    x = 6,454,139.11/3,361.47
  6. Step 6: Final answer
    x = 1,920.03

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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.