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Finding the Fourth Proportional to 3,865.48, 5,336.10 and 3,024.04

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Solution

The fourth proportional to 3,865.48, 5,336.10 and 3,024.04 is: 4,174.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,865.48 : 5,336.10 = 3,024.04 : x
  2. Step 2: Convert to fraction form
    3,865.48/5,336.10 = 3,024.04/x
  3. Step 3: Cross multiply
    3,865.48x = 5,336.10 × 3,024.04
  4. Step 4: Simplify right side
    3,865.48x = 16,136,579.84
  5. Step 5: Solve for x
    x = 16,136,579.84/3,865.48
  6. Step 6: Final answer
    x = 4,174.53

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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.