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Finding the Fourth Proportional to 5,662.80, 7,814.48 and 3,145.01

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Solution

The fourth proportional to 5,662.80, 7,814.48 and 3,145.01 is: 4,340.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,662.80 : 7,814.48 = 3,145.01 : x
  2. Step 2: Convert to fraction form
    5,662.80/7,814.48 = 3,145.01/x
  3. Step 3: Cross multiply
    5,662.80x = 7,814.48 × 3,145.01
  4. Step 4: Simplify right side
    5,662.80x = 24,576,562.95
  5. Step 5: Solve for x
    x = 24,576,562.95/5,662.80
  6. Step 6: Final answer
    x = 4,340.00

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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.