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Finding the Fourth Proportional to 4,004, 5,525.52 and 2,235.48

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Solution

The fourth proportional to 4,004, 5,525.52 and 2,235.48 is: 3,084.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004 : 5,525.52 = 2,235.48 : x
  2. Step 2: Convert to fraction form
    4,004/5,525.52 = 2,235.48/x
  3. Step 3: Cross multiply
    4,004x = 5,525.52 × 2,235.48
  4. Step 4: Simplify right side
    4,004x = 12,352,189.45
  5. Step 5: Solve for x
    x = 12,352,189.45/4,004
  6. Step 6: Final answer
    x = 3,084.96

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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.