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Finding the Fourth Proportional to 4,140.62, 6,200.37 and 4,017.50

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Solution

The fourth proportional to 4,140.62, 6,200.37 and 4,017.50 is: 6,016.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,140.62 : 6,200.37 = 4,017.50 : x
  2. Step 2: Convert to fraction form
    4,140.62/6,200.37 = 4,017.50/x
  3. Step 3: Cross multiply
    4,140.62x = 6,200.37 × 4,017.50
  4. Step 4: Simplify right side
    4,140.62x = 24,909,986.48
  5. Step 5: Solve for x
    x = 24,909,986.48/4,140.62
  6. Step 6: Final answer
    x = 6,016.00

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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.