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Finding the Fourth Proportional to 3,646.11, 5,461.79 and 2,410.41

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Solution

The fourth proportional to 3,646.11, 5,461.79 and 2,410.41 is: 3,610.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.11 : 5,461.79 = 2,410.41 : x
  2. Step 2: Convert to fraction form
    3,646.11/5,461.79 = 2,410.41/x
  3. Step 3: Cross multiply
    3,646.11x = 5,461.79 × 2,410.41
  4. Step 4: Simplify right side
    3,646.11x = 13,165,141.18
  5. Step 5: Solve for x
    x = 13,165,141.18/3,646.11
  6. Step 6: Final answer
    x = 3,610.74

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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.