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Finding the Fourth Proportional to 3,492.67, 5,235.36 and 1,411.83

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Solution

The fourth proportional to 3,492.67, 5,235.36 and 1,411.83 is: 2,116.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.67 : 5,235.36 = 1,411.83 : x
  2. Step 2: Convert to fraction form
    3,492.67/5,235.36 = 1,411.83/x
  3. Step 3: Cross multiply
    3,492.67x = 5,235.36 × 1,411.83
  4. Step 4: Simplify right side
    3,492.67x = 7,391,436.99
  5. Step 5: Solve for x
    x = 7,391,436.99/3,492.67
  6. Step 6: Final answer
    x = 2,116.27

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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.