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Finding the Fourth Proportional to 3,435.21, 5,171.45 and 3,078

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Solution

The fourth proportional to 3,435.21, 5,171.45 and 3,078 is: 4,633.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,435.21 : 5,171.45 = 3,078 : x
  2. Step 2: Convert to fraction form
    3,435.21/5,171.45 = 3,078/x
  3. Step 3: Cross multiply
    3,435.21x = 5,171.45 × 3,078
  4. Step 4: Simplify right side
    3,435.21x = 15,917,707.71
  5. Step 5: Solve for x
    x = 15,917,707.71/3,435.21
  6. Step 6: Final answer
    x = 4,633.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.