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Finding the Fourth Proportional to 5,454.48, 7,533.30 and 3,683

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Solution

The fourth proportional to 5,454.48, 7,533.30 and 3,683 is: 5,086.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,454.48 : 7,533.30 = 3,683 : x
  2. Step 2: Convert to fraction form
    5,454.48/7,533.30 = 3,683/x
  3. Step 3: Cross multiply
    5,454.48x = 7,533.30 × 3,683
  4. Step 4: Simplify right side
    5,454.48x = 27,745,143.90
  5. Step 5: Solve for x
    x = 27,745,143.90/5,454.48
  6. Step 6: Final answer
    x = 5,086.67

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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.