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Finding the Fourth Proportional to 3,416.57, 5,124.95 and 1,336.49

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Solution

The fourth proportional to 3,416.57, 5,124.95 and 1,336.49 is: 2,004.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.57 : 5,124.95 = 1,336.49 : x
  2. Step 2: Convert to fraction form
    3,416.57/5,124.95 = 1,336.49/x
  3. Step 3: Cross multiply
    3,416.57x = 5,124.95 × 1,336.49
  4. Step 4: Simplify right side
    3,416.57x = 6,849,444.43
  5. Step 5: Solve for x
    x = 6,849,444.43/3,416.57
  6. Step 6: Final answer
    x = 2,004.77

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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.