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Finding the Fourth Proportional to 5,628.38, 7,768.98 and 3,532.50

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Solution

The fourth proportional to 5,628.38, 7,768.98 and 3,532.50 is: 4,875.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,628.38 : 7,768.98 = 3,532.50 : x
  2. Step 2: Convert to fraction form
    5,628.38/7,768.98 = 3,532.50/x
  3. Step 3: Cross multiply
    5,628.38x = 7,768.98 × 3,532.50
  4. Step 4: Simplify right side
    5,628.38x = 27,443,921.85
  5. Step 5: Solve for x
    x = 27,443,921.85/5,628.38
  6. Step 6: Final answer
    x = 4,875.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.