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Finding the Fourth Proportional to 3,416.51, 5,127.03 and 1,336.11

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Solution

The fourth proportional to 3,416.51, 5,127.03 and 1,336.11 is: 2,005.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.51 : 5,127.03 = 1,336.11 : x
  2. Step 2: Convert to fraction form
    3,416.51/5,127.03 = 1,336.11/x
  3. Step 3: Cross multiply
    3,416.51x = 5,127.03 × 1,336.11
  4. Step 4: Simplify right side
    3,416.51x = 6,850,276.05
  5. Step 5: Solve for x
    x = 6,850,276.05/3,416.51
  6. Step 6: Final answer
    x = 2,005.05

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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.