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Finding the Fourth Proportional to 3,433.06, 4,737.89 and 1,941.14

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Solution

The fourth proportional to 3,433.06, 4,737.89 and 1,941.14 is: 2,678.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.06 : 4,737.89 = 1,941.14 : x
  2. Step 2: Convert to fraction form
    3,433.06/4,737.89 = 1,941.14/x
  3. Step 3: Cross multiply
    3,433.06x = 4,737.89 × 1,941.14
  4. Step 4: Simplify right side
    3,433.06x = 9,196,909.93
  5. Step 5: Solve for x
    x = 9,196,909.93/3,433.06
  6. Step 6: Final answer
    x = 2,678.93

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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.