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Finding the Fourth Proportional to 3,484.44, 5,226.96 and 887.38

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Solution

The fourth proportional to 3,484.44, 5,226.96 and 887.38 is: 1,331.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,484.44 : 5,226.96 = 887.38 : x
  2. Step 2: Convert to fraction form
    3,484.44/5,226.96 = 887.38/x
  3. Step 3: Cross multiply
    3,484.44x = 5,226.96 × 887.38
  4. Step 4: Simplify right side
    3,484.44x = 4,638,299.76
  5. Step 5: Solve for x
    x = 4,638,299.76/3,484.44
  6. Step 6: Final answer
    x = 1,331.15

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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.