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Finding the Fourth Proportional to 3,894.75, 5,838.65 and 1,428.99

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Solution

The fourth proportional to 3,894.75, 5,838.65 and 1,428.99 is: 2,142.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.75 : 5,838.65 = 1,428.99 : x
  2. Step 2: Convert to fraction form
    3,894.75/5,838.65 = 1,428.99/x
  3. Step 3: Cross multiply
    3,894.75x = 5,838.65 × 1,428.99
  4. Step 4: Simplify right side
    3,894.75x = 8,343,372.46
  5. Step 5: Solve for x
    x = 8,343,372.46/3,894.75
  6. Step 6: Final answer
    x = 2,142.21

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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.