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Finding the Fourth Proportional to 3,558.50, 5,338.84 and 1,250

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Solution

The fourth proportional to 3,558.50, 5,338.84 and 1,250 is: 1,875.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,558.50 : 5,338.84 = 1,250 : x
  2. Step 2: Convert to fraction form
    3,558.50/5,338.84 = 1,250/x
  3. Step 3: Cross multiply
    3,558.50x = 5,338.84 × 1,250
  4. Step 4: Simplify right side
    3,558.50x = 6,673,550
  5. Step 5: Solve for x
    x = 6,673,550/3,558.50
  6. Step 6: Final answer
    x = 1,875.38

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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.