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Finding the Fourth Proportional to 3,358.96, 5,038.54 and 1,604.15

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Solution

The fourth proportional to 3,358.96, 5,038.54 and 1,604.15 is: 2,406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,358.96 : 5,038.54 = 1,604.15 : x
  2. Step 2: Convert to fraction form
    3,358.96/5,038.54 = 1,604.15/x
  3. Step 3: Cross multiply
    3,358.96x = 5,038.54 × 1,604.15
  4. Step 4: Simplify right side
    3,358.96x = 8,082,573.94
  5. Step 5: Solve for x
    x = 8,082,573.94/3,358.96
  6. Step 6: Final answer
    x = 2,406.27

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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.