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Finding the Fourth Proportional to 3,492.67, 5,238.20 and 1,302.43

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Solution

The fourth proportional to 3,492.67, 5,238.20 and 1,302.43 is: 1,953.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.67 : 5,238.20 = 1,302.43 : x
  2. Step 2: Convert to fraction form
    3,492.67/5,238.20 = 1,302.43/x
  3. Step 3: Cross multiply
    3,492.67x = 5,238.20 × 1,302.43
  4. Step 4: Simplify right side
    3,492.67x = 6,822,382.31
  5. Step 5: Solve for x
    x = 6,822,382.31/3,492.67
  6. Step 6: Final answer
    x = 1,953.34

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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.