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Finding the Fourth Proportional to 3,795.60, 5,690.94 and 1,603.20

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Solution

The fourth proportional to 3,795.60, 5,690.94 and 1,603.20 is: 2,403.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,795.60 : 5,690.94 = 1,603.20 : x
  2. Step 2: Convert to fraction form
    3,795.60/5,690.94 = 1,603.20/x
  3. Step 3: Cross multiply
    3,795.60x = 5,690.94 × 1,603.20
  4. Step 4: Simplify right side
    3,795.60x = 9,123,715.01
  5. Step 5: Solve for x
    x = 9,123,715.01/3,795.60
  6. Step 6: Final answer
    x = 2,403.76

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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.