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Finding the Fourth Proportional to 4,832.61, 7,281.84 and 3,974.34

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Solution

The fourth proportional to 4,832.61, 7,281.84 and 3,974.34 is: 5,988.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,832.61 : 7,281.84 = 3,974.34 : x
  2. Step 2: Convert to fraction form
    4,832.61/7,281.84 = 3,974.34/x
  3. Step 3: Cross multiply
    4,832.61x = 7,281.84 × 3,974.34
  4. Step 4: Simplify right side
    4,832.61x = 28,940,501.77
  5. Step 5: Solve for x
    x = 28,940,501.77/4,832.61
  6. Step 6: Final answer
    x = 5,988.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.