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Finding the Fourth Proportional to 3,666.12, 5,492.22 and 2,429.88

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Solution

The fourth proportional to 3,666.12, 5,492.22 and 2,429.88 is: 3,640.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,666.12 : 5,492.22 = 2,429.88 : x
  2. Step 2: Convert to fraction form
    3,666.12/5,492.22 = 2,429.88/x
  3. Step 3: Cross multiply
    3,666.12x = 5,492.22 × 2,429.88
  4. Step 4: Simplify right side
    3,666.12x = 13,345,435.53
  5. Step 5: Solve for x
    x = 13,345,435.53/3,666.12
  6. Step 6: Final answer
    x = 3,640.21

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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.