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Finding the Fourth Proportional to 3,603.87, 5,405.40 and 1,138.77

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Solution

The fourth proportional to 3,603.87, 5,405.40 and 1,138.77 is: 1,708.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,603.87 : 5,405.40 = 1,138.77 : x
  2. Step 2: Convert to fraction form
    3,603.87/5,405.40 = 1,138.77/x
  3. Step 3: Cross multiply
    3,603.87x = 5,405.40 × 1,138.77
  4. Step 4: Simplify right side
    3,603.87x = 6,155,507.36
  5. Step 5: Solve for x
    x = 6,155,507.36/3,603.87
  6. Step 6: Final answer
    x = 1,708.03

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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.