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Finding the Fourth Proportional to 4,133.71, 6,200.53 and 1,666.78

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Solution

The fourth proportional to 4,133.71, 6,200.53 and 1,666.78 is: 2,500.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.71 : 6,200.53 = 1,666.78 : x
  2. Step 2: Convert to fraction form
    4,133.71/6,200.53 = 1,666.78/x
  3. Step 3: Cross multiply
    4,133.71x = 6,200.53 × 1,666.78
  4. Step 4: Simplify right side
    4,133.71x = 10,334,919.39
  5. Step 5: Solve for x
    x = 10,334,919.39/4,133.71
  6. Step 6: Final answer
    x = 2,500.16

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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.