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Finding the Fourth Proportional to 5,219.68, 7,829.94 and 1,661.36

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Solution

The fourth proportional to 5,219.68, 7,829.94 and 1,661.36 is: 2,492.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.68 : 7,829.94 = 1,661.36 : x
  2. Step 2: Convert to fraction form
    5,219.68/7,829.94 = 1,661.36/x
  3. Step 3: Cross multiply
    5,219.68x = 7,829.94 × 1,661.36
  4. Step 4: Simplify right side
    5,219.68x = 13,008,349.12
  5. Step 5: Solve for x
    x = 13,008,349.12/5,219.68
  6. Step 6: Final answer
    x = 2,492.17

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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.