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Finding the Fourth Proportional to 3,497.71, 5,246.81 and 1,157.62

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Solution

The fourth proportional to 3,497.71, 5,246.81 and 1,157.62 is: 1,736.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,497.71 : 5,246.81 = 1,157.62 : x
  2. Step 2: Convert to fraction form
    3,497.71/5,246.81 = 1,157.62/x
  3. Step 3: Cross multiply
    3,497.71x = 5,246.81 × 1,157.62
  4. Step 4: Simplify right side
    3,497.71x = 6,073,812.19
  5. Step 5: Solve for x
    x = 6,073,812.19/3,497.71
  6. Step 6: Final answer
    x = 1,736.51

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1.5x scale

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.