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Finding the Fourth Proportional to 3,487.50, 5,230.85 and 890.46

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Solution

The fourth proportional to 3,487.50, 5,230.85 and 890.46 is: 1,335.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,487.50 : 5,230.85 = 890.46 : x
  2. Step 2: Convert to fraction form
    3,487.50/5,230.85 = 890.46/x
  3. Step 3: Cross multiply
    3,487.50x = 5,230.85 × 890.46
  4. Step 4: Simplify right side
    3,487.50x = 4,657,858.24
  5. Step 5: Solve for x
    x = 4,657,858.24/3,487.50
  6. Step 6: Final answer
    x = 1,335.59

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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.