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Finding the Fourth Proportional to 3,047.00, 4,571.27 and 1,404.71

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Solution

The fourth proportional to 3,047.00, 4,571.27 and 1,404.71 is: 2,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.00 : 4,571.27 = 1,404.71 : x
  2. Step 2: Convert to fraction form
    3,047.00/4,571.27 = 1,404.71/x
  3. Step 3: Cross multiply
    3,047.00x = 4,571.27 × 1,404.71
  4. Step 4: Simplify right side
    3,047.00x = 6,421,289.34
  5. Step 5: Solve for x
    x = 6,421,289.34/3,047.00
  6. Step 6: Final answer
    x = 2,107.41

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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.