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Finding the Fourth Proportional to 3,492.17, 5,238.24 and 1,412.15

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Solution

The fourth proportional to 3,492.17, 5,238.24 and 1,412.15 is: 2,118.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.17 : 5,238.24 = 1,412.15 : x
  2. Step 2: Convert to fraction form
    3,492.17/5,238.24 = 1,412.15/x
  3. Step 3: Cross multiply
    3,492.17x = 5,238.24 × 1,412.15
  4. Step 4: Simplify right side
    3,492.17x = 7,397,154.42
  5. Step 5: Solve for x
    x = 7,397,154.42/3,492.17
  6. Step 6: Final answer
    x = 2,118.21

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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.