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Finding the Fourth Proportional to 3,603.76, 5,403.78 and 2,123.42

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Solution

The fourth proportional to 3,603.76, 5,403.78 and 2,123.42 is: 3,184.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.76 : 5,403.78 = 2,123.42 : x
  2. Step 2: Convert to fraction form
    3,603.76/5,403.78 = 2,123.42/x
  3. Step 3: Cross multiply
    3,603.76x = 5,403.78 × 2,123.42
  4. Step 4: Simplify right side
    3,603.76x = 11,474,467.51
  5. Step 5: Solve for x
    x = 11,474,467.51/3,603.76
  6. Step 6: Final answer
    x = 3,184.03

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