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Finding the Fourth Proportional to 3,047.90, 4,571.28 and 1,073.79

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Solution

The fourth proportional to 3,047.90, 4,571.28 and 1,073.79 is: 1,610.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.90 : 4,571.28 = 1,073.79 : x
  2. Step 2: Convert to fraction form
    3,047.90/4,571.28 = 1,073.79/x
  3. Step 3: Cross multiply
    3,047.90x = 4,571.28 × 1,073.79
  4. Step 4: Simplify right side
    3,047.90x = 4,908,594.75
  5. Step 5: Solve for x
    x = 4,908,594.75/3,047.90
  6. Step 6: Final answer
    x = 1,610.49

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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.