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Finding the Fourth Proportional to 3,409.89, 5,114.83 and 944.71

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Solution

The fourth proportional to 3,409.89, 5,114.83 and 944.71 is: 1,417.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.89 : 5,114.83 = 944.71 : x
  2. Step 2: Convert to fraction form
    3,409.89/5,114.83 = 944.71/x
  3. Step 3: Cross multiply
    3,409.89x = 5,114.83 × 944.71
  4. Step 4: Simplify right side
    3,409.89x = 4,832,000.75
  5. Step 5: Solve for x
    x = 4,832,000.75/3,409.89
  6. Step 6: Final answer
    x = 1,417.06

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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.