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Finding the Fourth Proportional to 3,492.68, 5,238.45 and 1,412.15

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Solution

The fourth proportional to 3,492.68, 5,238.45 and 1,412.15 is: 2,117.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.68 : 5,238.45 = 1,412.15 : x
  2. Step 2: Convert to fraction form
    3,492.68/5,238.45 = 1,412.15/x
  3. Step 3: Cross multiply
    3,492.68x = 5,238.45 × 1,412.15
  4. Step 4: Simplify right side
    3,492.68x = 7,397,450.98
  5. Step 5: Solve for x
    x = 7,397,450.98/3,492.68
  6. Step 6: Final answer
    x = 2,117.99

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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.