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Finding the Fourth Proportional to 5,497.76, 7,584.90 and 3,343.56

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Solution

The fourth proportional to 5,497.76, 7,584.90 and 3,343.56 is: 4,612.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,497.76 : 7,584.90 = 3,343.56 : x
  2. Step 2: Convert to fraction form
    5,497.76/7,584.90 = 3,343.56/x
  3. Step 3: Cross multiply
    5,497.76x = 7,584.90 × 3,343.56
  4. Step 4: Simplify right side
    5,497.76x = 25,360,568.24
  5. Step 5: Solve for x
    x = 25,360,568.24/5,497.76
  6. Step 6: Final answer
    x = 4,612.90

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1.5x scale

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.