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Finding the Fourth Proportional to 5,357.44, 8,036.16 and 1,461.85

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Solution

The fourth proportional to 5,357.44, 8,036.16 and 1,461.85 is: 2,192.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,357.44 : 8,036.16 = 1,461.85 : x
  2. Step 2: Convert to fraction form
    5,357.44/8,036.16 = 1,461.85/x
  3. Step 3: Cross multiply
    5,357.44x = 8,036.16 × 1,461.85
  4. Step 4: Simplify right side
    5,357.44x = 11,747,660.50
  5. Step 5: Solve for x
    x = 11,747,660.50/5,357.44
  6. Step 6: Final answer
    x = 2,192.78

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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.