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Finding the Fourth Proportional to 3,492.67, 5,242.44 and 2,565.62

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Solution

The fourth proportional to 3,492.67, 5,242.44 and 2,565.62 is: 3,850.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,492.67 : 5,242.44 = 2,565.62 : x
  2. Step 2: Convert to fraction form
    3,492.67/5,242.44 = 2,565.62/x
  3. Step 3: Cross multiply
    3,492.67x = 5,242.44 × 2,565.62
  4. Step 4: Simplify right side
    3,492.67x = 13,450,108.91
  5. Step 5: Solve for x
    x = 13,450,108.91/3,492.67
  6. Step 6: Final answer
    x = 3,850.96

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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.