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Finding the Fourth Proportional to 4,213.48, 6,312.64 and 2,749

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Solution

The fourth proportional to 4,213.48, 6,312.64 and 2,749 is: 4,118.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.48 : 6,312.64 = 2,749 : x
  2. Step 2: Convert to fraction form
    4,213.48/6,312.64 = 2,749/x
  3. Step 3: Cross multiply
    4,213.48x = 6,312.64 × 2,749
  4. Step 4: Simplify right side
    4,213.48x = 17,353,447.36
  5. Step 5: Solve for x
    x = 17,353,447.36/4,213.48
  6. Step 6: Final answer
    x = 4,118.55

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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.