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Finding the Fourth Proportional to 4,652.16, 6,974.10 and 3,274.35

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Solution

The fourth proportional to 4,652.16, 6,974.10 and 3,274.35 is: 4,908.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.16 : 6,974.10 = 3,274.35 : x
  2. Step 2: Convert to fraction form
    4,652.16/6,974.10 = 3,274.35/x
  3. Step 3: Cross multiply
    4,652.16x = 6,974.10 × 3,274.35
  4. Step 4: Simplify right side
    4,652.16x = 22,835,644.34
  5. Step 5: Solve for x
    x = 22,835,644.34/4,652.16
  6. Step 6: Final answer
    x = 4,908.61

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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.