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Finding the Fourth Proportional to 3,687.53, 5,528.05 and 1,742.09

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Solution

The fourth proportional to 3,687.53, 5,528.05 and 1,742.09 is: 2,611.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.53 : 5,528.05 = 1,742.09 : x
  2. Step 2: Convert to fraction form
    3,687.53/5,528.05 = 1,742.09/x
  3. Step 3: Cross multiply
    3,687.53x = 5,528.05 × 1,742.09
  4. Step 4: Simplify right side
    3,687.53x = 9,630,328.63
  5. Step 5: Solve for x
    x = 9,630,328.63/3,687.53
  6. Step 6: Final answer
    x = 2,611.60

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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.