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Finding the Fourth Proportional to 4,630.50, 6,390.09 and 2,534.67

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Solution

The fourth proportional to 4,630.50, 6,390.09 and 2,534.67 is: 3,497.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,630.50 : 6,390.09 = 2,534.67 : x
  2. Step 2: Convert to fraction form
    4,630.50/6,390.09 = 2,534.67/x
  3. Step 3: Cross multiply
    4,630.50x = 6,390.09 × 2,534.67
  4. Step 4: Simplify right side
    4,630.50x = 16,196,769.42
  5. Step 5: Solve for x
    x = 16,196,769.42/4,630.50
  6. Step 6: Final answer
    x = 3,497.84

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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.