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Finding the Fourth Proportional to 3,605.20, 5,407.80 and 1,140.21

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Solution

The fourth proportional to 3,605.20, 5,407.80 and 1,140.21 is: 1,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.20 : 5,407.80 = 1,140.21 : x
  2. Step 2: Convert to fraction form
    3,605.20/5,407.80 = 1,140.21/x
  3. Step 3: Cross multiply
    3,605.20x = 5,407.80 × 1,140.21
  4. Step 4: Simplify right side
    3,605.20x = 6,166,027.64
  5. Step 5: Solve for x
    x = 6,166,027.64/3,605.20
  6. Step 6: Final answer
    x = 1,710.32

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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.