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Finding the Fourth Proportional to 3,687.95, 5,525.57 and 2,457.83

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Solution

The fourth proportional to 3,687.95, 5,525.57 and 2,457.83 is: 3,682.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.95 : 5,525.57 = 2,457.83 : x
  2. Step 2: Convert to fraction form
    3,687.95/5,525.57 = 2,457.83/x
  3. Step 3: Cross multiply
    3,687.95x = 5,525.57 × 2,457.83
  4. Step 4: Simplify right side
    3,687.95x = 13,580,871.80
  5. Step 5: Solve for x
    x = 13,580,871.80/3,687.95
  6. Step 6: Final answer
    x = 3,682.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.