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Finding the Fourth Proportional to 4,668, 6,441.84 and 2,572.32

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Solution

The fourth proportional to 4,668, 6,441.84 and 2,572.32 is: 3,549.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668 : 6,441.84 = 2,572.32 : x
  2. Step 2: Convert to fraction form
    4,668/6,441.84 = 2,572.32/x
  3. Step 3: Cross multiply
    4,668x = 6,441.84 × 2,572.32
  4. Step 4: Simplify right side
    4,668x = 16,570,473.87
  5. Step 5: Solve for x
    x = 16,570,473.87/4,668
  6. Step 6: Final answer
    x = 3,549.80

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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.