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Finding the Fourth Proportional to 3,607.42, 5,408.64 and 1,849.02

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Solution

The fourth proportional to 3,607.42, 5,408.64 and 1,849.02 is: 2,772.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,607.42 : 5,408.64 = 1,849.02 : x
  2. Step 2: Convert to fraction form
    3,607.42/5,408.64 = 1,849.02/x
  3. Step 3: Cross multiply
    3,607.42x = 5,408.64 × 1,849.02
  4. Step 4: Simplify right side
    3,607.42x = 10,000,683.53
  5. Step 5: Solve for x
    x = 10,000,683.53/3,607.42
  6. Step 6: Final answer
    x = 2,772.25

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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.