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Finding the Fourth Proportional to 4,168.42, 5,752.74 and 2,575.42

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Solution

The fourth proportional to 4,168.42, 5,752.74 and 2,575.42 is: 3,554.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,168.42 : 5,752.74 = 2,575.42 : x
  2. Step 2: Convert to fraction form
    4,168.42/5,752.74 = 2,575.42/x
  3. Step 3: Cross multiply
    4,168.42x = 5,752.74 × 2,575.42
  4. Step 4: Simplify right side
    4,168.42x = 14,815,721.65
  5. Step 5: Solve for x
    x = 14,815,721.65/4,168.42
  6. Step 6: Final answer
    x = 3,554.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.