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Finding the Fourth Proportional to 4,004, 5,525.52 and 2,348

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Solution

The fourth proportional to 4,004, 5,525.52 and 2,348 is: 3,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,004 : 5,525.52 = 2,348 : x
  2. Step 2: Convert to fraction form
    4,004/5,525.52 = 2,348/x
  3. Step 3: Cross multiply
    4,004x = 5,525.52 × 2,348
  4. Step 4: Simplify right side
    4,004x = 12,973,920.96
  5. Step 5: Solve for x
    x = 12,973,920.96/4,004
  6. Step 6: Final answer
    x = 3,240.24

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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.