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Finding the Fourth Proportional to 4,172.50, 6,259.71 and 1,250.87

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Solution

The fourth proportional to 4,172.50, 6,259.71 and 1,250.87 is: 1,876.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172.50 : 6,259.71 = 1,250.87 : x
  2. Step 2: Convert to fraction form
    4,172.50/6,259.71 = 1,250.87/x
  3. Step 3: Cross multiply
    4,172.50x = 6,259.71 × 1,250.87
  4. Step 4: Simplify right side
    4,172.50x = 7,830,056.84
  5. Step 5: Solve for x
    x = 7,830,056.84/4,172.50
  6. Step 6: Final answer
    x = 1,876.59

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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.