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Finding the Fourth Proportional to 3,050.70, 4,571.13 and 2,564.70

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Solution

The fourth proportional to 3,050.70, 4,571.13 and 2,564.70 is: 3,842.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,050.70 : 4,571.13 = 2,564.70 : x
  2. Step 2: Convert to fraction form
    3,050.70/4,571.13 = 2,564.70/x
  3. Step 3: Cross multiply
    3,050.70x = 4,571.13 × 2,564.70
  4. Step 4: Simplify right side
    3,050.70x = 11,723,577.11
  5. Step 5: Solve for x
    x = 11,723,577.11/3,050.70
  6. Step 6: Final answer
    x = 3,842.91

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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.