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Finding the Fourth Proportional to 5,078.49, 7,007.49 and 3,282.67

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Solution

The fourth proportional to 5,078.49, 7,007.49 and 3,282.67 is: 4,529.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.49 : 7,007.49 = 3,282.67 : x
  2. Step 2: Convert to fraction form
    5,078.49/7,007.49 = 3,282.67/x
  3. Step 3: Cross multiply
    5,078.49x = 7,007.49 × 3,282.67
  4. Step 4: Simplify right side
    5,078.49x = 23,003,277.20
  5. Step 5: Solve for x
    x = 23,003,277.20/5,078.49
  6. Step 6: Final answer
    x = 4,529.55

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1.5x scale

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.