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Finding the Fourth Proportional to 3,496.53, 4,824.72 and 1,924.74

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Solution

The fourth proportional to 3,496.53, 4,824.72 and 1,924.74 is: 2,655.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,496.53 : 4,824.72 = 1,924.74 : x
  2. Step 2: Convert to fraction form
    3,496.53/4,824.72 = 1,924.74/x
  3. Step 3: Cross multiply
    3,496.53x = 4,824.72 × 1,924.74
  4. Step 4: Simplify right side
    3,496.53x = 9,286,331.57
  5. Step 5: Solve for x
    x = 9,286,331.57/3,496.53
  6. Step 6: Final answer
    x = 2,655.87

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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.