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Finding the Fourth Proportional to 5,444.64, 7,517.34 and 3,429

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Solution

The fourth proportional to 5,444.64, 7,517.34 and 3,429 is: 4,734.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,444.64 : 7,517.34 = 3,429 : x
  2. Step 2: Convert to fraction form
    5,444.64/7,517.34 = 3,429/x
  3. Step 3: Cross multiply
    5,444.64x = 7,517.34 × 3,429
  4. Step 4: Simplify right side
    5,444.64x = 25,776,958.86
  5. Step 5: Solve for x
    x = 25,776,958.86/5,444.64
  6. Step 6: Final answer
    x = 4,734.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.