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Finding the Fourth Proportional to 3,237.50, 4,858.01 and 1,289.70

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Solution

The fourth proportional to 3,237.50, 4,858.01 and 1,289.70 is: 1,935.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,237.50 : 4,858.01 = 1,289.70 : x
  2. Step 2: Convert to fraction form
    3,237.50/4,858.01 = 1,289.70/x
  3. Step 3: Cross multiply
    3,237.50x = 4,858.01 × 1,289.70
  4. Step 4: Simplify right side
    3,237.50x = 6,265,375.50
  5. Step 5: Solve for x
    x = 6,265,375.50/3,237.50
  6. Step 6: Final answer
    x = 1,935.25

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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.