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Finding the Fourth Proportional to 3,402.64, 5,114.08 and 2,314

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Solution

The fourth proportional to 3,402.64, 5,114.08 and 2,314 is: 3,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.64 : 5,114.08 = 2,314 : x
  2. Step 2: Convert to fraction form
    3,402.64/5,114.08 = 2,314/x
  3. Step 3: Cross multiply
    3,402.64x = 5,114.08 × 2,314
  4. Step 4: Simplify right side
    3,402.64x = 11,833,981.12
  5. Step 5: Solve for x
    x = 11,833,981.12/3,402.64
  6. Step 6: Final answer
    x = 3,477.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.