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Finding the Fourth Proportional to 3,525.88, 4,829.84 and 3,487

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Solution

The fourth proportional to 3,525.88, 4,829.84 and 3,487 is: 4,776.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,525.88 : 4,829.84 = 3,487 : x
  2. Step 2: Convert to fraction form
    3,525.88/4,829.84 = 3,487/x
  3. Step 3: Cross multiply
    3,525.88x = 4,829.84 × 3,487
  4. Step 4: Simplify right side
    3,525.88x = 16,841,652.08
  5. Step 5: Solve for x
    x = 16,841,652.08/3,525.88
  6. Step 6: Final answer
    x = 4,776.58

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.