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Finding the Fourth Proportional to 4,006, 5,527.99 and 2,412.34

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Solution

The fourth proportional to 4,006, 5,527.99 and 2,412.34 is: 3,328.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,006 : 5,527.99 = 2,412.34 : x
  2. Step 2: Convert to fraction form
    4,006/5,527.99 = 2,412.34/x
  3. Step 3: Cross multiply
    4,006x = 5,527.99 × 2,412.34
  4. Step 4: Simplify right side
    4,006x = 13,335,391.40
  5. Step 5: Solve for x
    x = 13,335,391.40/4,006
  6. Step 6: Final answer
    x = 3,328.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.