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Finding the Fourth Proportional to 3,416.36, 5,124.51 and 951.19

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Solution

The fourth proportional to 3,416.36, 5,124.51 and 951.19 is: 1,426.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.36 : 5,124.51 = 951.19 : x
  2. Step 2: Convert to fraction form
    3,416.36/5,124.51 = 951.19/x
  3. Step 3: Cross multiply
    3,416.36x = 5,124.51 × 951.19
  4. Step 4: Simplify right side
    3,416.36x = 4,874,369.86
  5. Step 5: Solve for x
    x = 4,874,369.86/3,416.36
  6. Step 6: Final answer
    x = 1,426.77

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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.