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Finding the Fourth Proportional to 3,119.64, 4,272.36 and 3,078.72

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Solution

The fourth proportional to 3,119.64, 4,272.36 and 3,078.72 is: 4,216.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,119.64 : 4,272.36 = 3,078.72 : x
  2. Step 2: Convert to fraction form
    3,119.64/4,272.36 = 3,078.72/x
  3. Step 3: Cross multiply
    3,119.64x = 4,272.36 × 3,078.72
  4. Step 4: Simplify right side
    3,119.64x = 13,153,400.18
  5. Step 5: Solve for x
    x = 13,153,400.18/3,119.64
  6. Step 6: Final answer
    x = 4,216.32

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.