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Finding the Fourth Proportional to 4,004, 5,525.84 and 2,235.88

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Solution

The fourth proportional to 4,004, 5,525.84 and 2,235.88 is: 3,085.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004 : 5,525.84 = 2,235.88 : x
  2. Step 2: Convert to fraction form
    4,004/5,525.84 = 2,235.88/x
  3. Step 3: Cross multiply
    4,004x = 5,525.84 × 2,235.88
  4. Step 4: Simplify right side
    4,004x = 12,355,115.14
  5. Step 5: Solve for x
    x = 12,355,115.14/4,004
  6. Step 6: Final answer
    x = 3,085.69

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