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Finding the Fourth Proportional to 5,143.48, 7,714.32 and 2,221

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Solution

The fourth proportional to 5,143.48, 7,714.32 and 2,221 is: 3,331.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.48 : 7,714.32 = 2,221 : x
  2. Step 2: Convert to fraction form
    5,143.48/7,714.32 = 2,221/x
  3. Step 3: Cross multiply
    5,143.48x = 7,714.32 × 2,221
  4. Step 4: Simplify right side
    5,143.48x = 17,133,504.72
  5. Step 5: Solve for x
    x = 17,133,504.72/5,143.48
  6. Step 6: Final answer
    x = 3,331.11

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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.