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Finding the Fourth Proportional to 3,410.96, 4,707.24 and 2,013.68

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Solution

The fourth proportional to 3,410.96, 4,707.24 and 2,013.68 is: 2,778.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.96 : 4,707.24 = 2,013.68 : x
  2. Step 2: Convert to fraction form
    3,410.96/4,707.24 = 2,013.68/x
  3. Step 3: Cross multiply
    3,410.96x = 4,707.24 × 2,013.68
  4. Step 4: Simplify right side
    3,410.96x = 9,478,875.04
  5. Step 5: Solve for x
    x = 9,478,875.04/3,410.96
  6. Step 6: Final answer
    x = 2,778.95

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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.