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Finding the Fourth Proportional to 4,571.50, 6,857.15 and 2,106.32

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Solution

The fourth proportional to 4,571.50, 6,857.15 and 2,106.32 is: 3,159.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,571.50 : 6,857.15 = 2,106.32 : x
  2. Step 2: Convert to fraction form
    4,571.50/6,857.15 = 2,106.32/x
  3. Step 3: Cross multiply
    4,571.50x = 6,857.15 × 2,106.32
  4. Step 4: Simplify right side
    4,571.50x = 14,443,352.19
  5. Step 5: Solve for x
    x = 14,443,352.19/4,571.50
  6. Step 6: Final answer
    x = 3,159.43

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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.