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Finding the Fourth Proportional to 4,234.64, 5,844.72 and 2,466.58

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Solution

The fourth proportional to 4,234.64, 5,844.72 and 2,466.58 is: 3,404.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,234.64 : 5,844.72 = 2,466.58 : x
  2. Step 2: Convert to fraction form
    4,234.64/5,844.72 = 2,466.58/x
  3. Step 3: Cross multiply
    4,234.64x = 5,844.72 × 2,466.58
  4. Step 4: Simplify right side
    4,234.64x = 14,416,469.46
  5. Step 5: Solve for x
    x = 14,416,469.46/4,234.64
  6. Step 6: Final answer
    x = 3,404.41

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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.