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Finding the Fourth Proportional to 4,282.86, 5,910.46 and 2,394.64

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Solution

The fourth proportional to 4,282.86, 5,910.46 and 2,394.64 is: 3,304.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,282.86 : 5,910.46 = 2,394.64 : x
  2. Step 2: Convert to fraction form
    4,282.86/5,910.46 = 2,394.64/x
  3. Step 3: Cross multiply
    4,282.86x = 5,910.46 × 2,394.64
  4. Step 4: Simplify right side
    4,282.86x = 14,153,423.93
  5. Step 5: Solve for x
    x = 14,153,423.93/4,282.86
  6. Step 6: Final answer
    x = 3,304.67

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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.