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Finding the Fourth Proportional to 3,288.16, 4,934.16 and 3,261.76

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Solution

The fourth proportional to 3,288.16, 4,934.16 and 3,261.76 is: 4,894.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.16 : 4,934.16 = 3,261.76 : x
  2. Step 2: Convert to fraction form
    3,288.16/4,934.16 = 3,261.76/x
  3. Step 3: Cross multiply
    3,288.16x = 4,934.16 × 3,261.76
  4. Step 4: Simplify right side
    3,288.16x = 16,094,045.72
  5. Step 5: Solve for x
    x = 16,094,045.72/3,288.16
  6. Step 6: Final answer
    x = 4,894.54

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1.5x scale

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.