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Finding the Fourth Proportional to 5,605.66, 8,410.89 and 2,321.14

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Solution

The fourth proportional to 5,605.66, 8,410.89 and 2,321.14 is: 3,482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.66 : 8,410.89 = 2,321.14 : x
  2. Step 2: Convert to fraction form
    5,605.66/8,410.89 = 2,321.14/x
  3. Step 3: Cross multiply
    5,605.66x = 8,410.89 × 2,321.14
  4. Step 4: Simplify right side
    5,605.66x = 19,522,853.21
  5. Step 5: Solve for x
    x = 19,522,853.21/5,605.66
  6. Step 6: Final answer
    x = 3,482.70

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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.