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Finding the Fourth Proportional to 3,142.16, 4,714.02 and 2,219.52

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Solution

The fourth proportional to 3,142.16, 4,714.02 and 2,219.52 is: 3,329.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.16 : 4,714.02 = 2,219.52 : x
  2. Step 2: Convert to fraction form
    3,142.16/4,714.02 = 2,219.52/x
  3. Step 3: Cross multiply
    3,142.16x = 4,714.02 × 2,219.52
  4. Step 4: Simplify right side
    3,142.16x = 10,462,861.67
  5. Step 5: Solve for x
    x = 10,462,861.67/3,142.16
  6. Step 6: Final answer
    x = 3,329.84

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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.