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Finding the Fourth Proportional to 3,438.71, 5,157.41 and 972.94

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Solution

The fourth proportional to 3,438.71, 5,157.41 and 972.94 is: 1,459.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,438.71 : 5,157.41 = 972.94 : x
  2. Step 2: Convert to fraction form
    3,438.71/5,157.41 = 972.94/x
  3. Step 3: Cross multiply
    3,438.71x = 5,157.41 × 972.94
  4. Step 4: Simplify right side
    3,438.71x = 5,017,824.70
  5. Step 5: Solve for x
    x = 5,017,824.70/3,438.71
  6. Step 6: Final answer
    x = 1,459.22

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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.