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Finding the Fourth Proportional to 3,605.10, 5,406.87 and 1,140.12

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Solution

The fourth proportional to 3,605.10, 5,406.87 and 1,140.12 is: 1,709.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.10 : 5,406.87 = 1,140.12 : x
  2. Step 2: Convert to fraction form
    3,605.10/5,406.87 = 1,140.12/x
  3. Step 3: Cross multiply
    3,605.10x = 5,406.87 × 1,140.12
  4. Step 4: Simplify right side
    3,605.10x = 6,164,480.62
  5. Step 5: Solve for x
    x = 6,164,480.62/3,605.10
  6. Step 6: Final answer
    x = 1,709.93

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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.