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Finding the Fourth Proportional to 3,416.12, 5,127.15 and 1,662.42

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Solution

The fourth proportional to 3,416.12, 5,127.15 and 1,662.42 is: 2,495.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.12 : 5,127.15 = 1,662.42 : x
  2. Step 2: Convert to fraction form
    3,416.12/5,127.15 = 1,662.42/x
  3. Step 3: Cross multiply
    3,416.12x = 5,127.15 × 1,662.42
  4. Step 4: Simplify right side
    3,416.12x = 8,523,492.81
  5. Step 5: Solve for x
    x = 8,523,492.81/3,416.12
  6. Step 6: Final answer
    x = 2,495.08

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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.