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Finding the Fourth Proportional to 4,177.32, 6,266.02 and 1,711.50

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Solution

The fourth proportional to 4,177.32, 6,266.02 and 1,711.50 is: 2,567.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177.32 : 6,266.02 = 1,711.50 : x
  2. Step 2: Convert to fraction form
    4,177.32/6,266.02 = 1,711.50/x
  3. Step 3: Cross multiply
    4,177.32x = 6,266.02 × 1,711.50
  4. Step 4: Simplify right side
    4,177.32x = 10,724,293.23
  5. Step 5: Solve for x
    x = 10,724,293.23/4,177.32
  6. Step 6: Final answer
    x = 2,567.27

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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.