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Finding the Fourth Proportional to 3,603.81, 5,407.85 and 1,523.70

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Solution

The fourth proportional to 3,603.81, 5,407.85 and 1,523.70 is: 2,286.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.81 : 5,407.85 = 1,523.70 : x
  2. Step 2: Convert to fraction form
    3,603.81/5,407.85 = 1,523.70/x
  3. Step 3: Cross multiply
    3,603.81x = 5,407.85 × 1,523.70
  4. Step 4: Simplify right side
    3,603.81x = 8,239,941.05
  5. Step 5: Solve for x
    x = 8,239,941.05/3,603.81
  6. Step 6: Final answer
    x = 2,286.45

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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.