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Finding the Fourth Proportional to 4,533, 6,800.60 and 3,663.38

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Solution

The fourth proportional to 4,533, 6,800.60 and 3,663.38 is: 5,495.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,533 : 6,800.60 = 3,663.38 : x
  2. Step 2: Convert to fraction form
    4,533/6,800.60 = 3,663.38/x
  3. Step 3: Cross multiply
    4,533x = 6,800.60 × 3,663.38
  4. Step 4: Simplify right side
    4,533x = 24,913,182.03
  5. Step 5: Solve for x
    x = 24,913,182.03/4,533
  6. Step 6: Final answer
    x = 5,495.96

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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.