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Finding the Fourth Proportional to 3,492.65, 5,239.05 and 1,412.27

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Solution

The fourth proportional to 3,492.65, 5,239.05 and 1,412.27 is: 2,118.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.65 : 5,239.05 = 1,412.27 : x
  2. Step 2: Convert to fraction form
    3,492.65/5,239.05 = 1,412.27/x
  3. Step 3: Cross multiply
    3,492.65x = 5,239.05 × 1,412.27
  4. Step 4: Simplify right side
    3,492.65x = 7,398,926.95
  5. Step 5: Solve for x
    x = 7,398,926.95/3,492.65
  6. Step 6: Final answer
    x = 2,118.43

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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.