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Finding the Fourth Proportional to 4,141.56, 6,210.42 and 2,410.68

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Solution

The fourth proportional to 4,141.56, 6,210.42 and 2,410.68 is: 3,614.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,141.56 : 6,210.42 = 2,410.68 : x
  2. Step 2: Convert to fraction form
    4,141.56/6,210.42 = 2,410.68/x
  3. Step 3: Cross multiply
    4,141.56x = 6,210.42 × 2,410.68
  4. Step 4: Simplify right side
    4,141.56x = 14,971,335.29
  5. Step 5: Solve for x
    x = 14,971,335.29/4,141.56
  6. Step 6: Final answer
    x = 3,614.90

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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.