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Finding the Fourth Proportional to 3,416.72, 5,119.64 and 2,488

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Solution

The fourth proportional to 3,416.72, 5,119.64 and 2,488 is: 3,728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.72 : 5,119.64 = 2,488 : x
  2. Step 2: Convert to fraction form
    3,416.72/5,119.64 = 2,488/x
  3. Step 3: Cross multiply
    3,416.72x = 5,119.64 × 2,488
  4. Step 4: Simplify right side
    3,416.72x = 12,737,664.32
  5. Step 5: Solve for x
    x = 12,737,664.32/3,416.72
  6. Step 6: Final answer
    x = 3,728.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.