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Finding the Fourth Proportional to 5,103.63, 7,652.29 and 3,346.50

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Solution

The fourth proportional to 5,103.63, 7,652.29 and 3,346.50 is: 5,017.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,103.63 : 7,652.29 = 3,346.50 : x
  2. Step 2: Convert to fraction form
    5,103.63/7,652.29 = 3,346.50/x
  3. Step 3: Cross multiply
    5,103.63x = 7,652.29 × 3,346.50
  4. Step 4: Simplify right side
    5,103.63x = 25,608,388.49
  5. Step 5: Solve for x
    x = 25,608,388.49/5,103.63
  6. Step 6: Final answer
    x = 5,017.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.