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Finding the Fourth Proportional to 3,400.57, 5,099.93 and 934.81

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Solution

The fourth proportional to 3,400.57, 5,099.93 and 934.81 is: 1,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,400.57 : 5,099.93 = 934.81 : x
  2. Step 2: Convert to fraction form
    3,400.57/5,099.93 = 934.81/x
  3. Step 3: Cross multiply
    3,400.57x = 5,099.93 × 934.81
  4. Step 4: Simplify right side
    3,400.57x = 4,767,465.56
  5. Step 5: Solve for x
    x = 4,767,465.56/3,400.57
  6. Step 6: Final answer
    x = 1,401.96

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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.