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Finding the Fourth Proportional to 3,894.14, 5,373.28 and 2,300.57

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Solution

The fourth proportional to 3,894.14, 5,373.28 and 2,300.57 is: 3,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.14 : 5,373.28 = 2,300.57 : x
  2. Step 2: Convert to fraction form
    3,894.14/5,373.28 = 2,300.57/x
  3. Step 3: Cross multiply
    3,894.14x = 5,373.28 × 2,300.57
  4. Step 4: Simplify right side
    3,894.14x = 12,361,607.24
  5. Step 5: Solve for x
    x = 12,361,607.24/3,894.14
  6. Step 6: Final answer
    x = 3,174.41

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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.