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Finding the Fourth Proportional to 5,687.66, 8,532.50 and 2,177.52

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Solution

The fourth proportional to 5,687.66, 8,532.50 and 2,177.52 is: 3,266.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,687.66 : 8,532.50 = 2,177.52 : x
  2. Step 2: Convert to fraction form
    5,687.66/8,532.50 = 2,177.52/x
  3. Step 3: Cross multiply
    5,687.66x = 8,532.50 × 2,177.52
  4. Step 4: Simplify right side
    5,687.66x = 18,579,678.51
  5. Step 5: Solve for x
    x = 18,579,678.51/5,687.66
  6. Step 6: Final answer
    x = 3,266.67

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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.