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Finding the Fourth Proportional to 5,957, 8,219.44 and 3,303.84

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Solution

The fourth proportional to 5,957, 8,219.44 and 3,303.84 is: 4,558.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957 : 8,219.44 = 3,303.84 : x
  2. Step 2: Convert to fraction form
    5,957/8,219.44 = 3,303.84/x
  3. Step 3: Cross multiply
    5,957x = 8,219.44 × 3,303.84
  4. Step 4: Simplify right side
    5,957x = 27,155,714.65
  5. Step 5: Solve for x
    x = 27,155,714.65/5,957
  6. Step 6: Final answer
    x = 4,558.62

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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.