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Finding the Fourth Proportional to 4,349.96, 6,002.57 and 2,461.44

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Solution

The fourth proportional to 4,349.96, 6,002.57 and 2,461.44 is: 3,396.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.96 : 6,002.57 = 2,461.44 : x
  2. Step 2: Convert to fraction form
    4,349.96/6,002.57 = 2,461.44/x
  3. Step 3: Cross multiply
    4,349.96x = 6,002.57 × 2,461.44
  4. Step 4: Simplify right side
    4,349.96x = 14,774,965.90
  5. Step 5: Solve for x
    x = 14,774,965.90/4,349.96
  6. Step 6: Final answer
    x = 3,396.58

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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.