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Finding the Fourth Proportional to 5,362.88, 7,400.76 and 3,267

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Solution

The fourth proportional to 5,362.88, 7,400.76 and 3,267 is: 4,508.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,362.88 : 7,400.76 = 3,267 : x
  2. Step 2: Convert to fraction form
    5,362.88/7,400.76 = 3,267/x
  3. Step 3: Cross multiply
    5,362.88x = 7,400.76 × 3,267
  4. Step 4: Simplify right side
    5,362.88x = 24,178,282.92
  5. Step 5: Solve for x
    x = 24,178,282.92/5,362.88
  6. Step 6: Final answer
    x = 4,508.45

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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.