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Finding the Fourth Proportional to 3,109.64, 4,625.89 and 3,078.32

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Solution

The fourth proportional to 3,109.64, 4,625.89 and 3,078.32 is: 4,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,109.64 : 4,625.89 = 3,078.32 : x
  2. Step 2: Convert to fraction form
    3,109.64/4,625.89 = 3,078.32/x
  3. Step 3: Cross multiply
    3,109.64x = 4,625.89 × 3,078.32
  4. Step 4: Simplify right side
    3,109.64x = 14,239,969.70
  5. Step 5: Solve for x
    x = 14,239,969.70/3,109.64
  6. Step 6: Final answer
    x = 4,579.30

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.