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Finding the Fourth Proportional to 3,980.61, 5,493.42 and 2,410.02

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Solution

The fourth proportional to 3,980.61, 5,493.42 and 2,410.02 is: 3,325.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,980.61 : 5,493.42 = 2,410.02 : x
  2. Step 2: Convert to fraction form
    3,980.61/5,493.42 = 2,410.02/x
  3. Step 3: Cross multiply
    3,980.61x = 5,493.42 × 2,410.02
  4. Step 4: Simplify right side
    3,980.61x = 13,239,252.07
  5. Step 5: Solve for x
    x = 13,239,252.07/3,980.61
  6. Step 6: Final answer
    x = 3,325.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.