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Finding the Fourth Proportional to 5,957.46, 8,933.40 and 1,796.40

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Solution

The fourth proportional to 5,957.46, 8,933.40 and 1,796.40 is: 2,693.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,957.46 : 8,933.40 = 1,796.40 : x
  2. Step 2: Convert to fraction form
    5,957.46/8,933.40 = 1,796.40/x
  3. Step 3: Cross multiply
    5,957.46x = 8,933.40 × 1,796.40
  4. Step 4: Simplify right side
    5,957.46x = 16,047,959.76
  5. Step 5: Solve for x
    x = 16,047,959.76/5,957.46
  6. Step 6: Final answer
    x = 2,693.76

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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.