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Finding the Fourth Proportional to 5,078.64, 7,618.56 and 2,155.32

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Solution

The fourth proportional to 5,078.64, 7,618.56 and 2,155.32 is: 3,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.64 : 7,618.56 = 2,155.32 : x
  2. Step 2: Convert to fraction form
    5,078.64/7,618.56 = 2,155.32/x
  3. Step 3: Cross multiply
    5,078.64x = 7,618.56 × 2,155.32
  4. Step 4: Simplify right side
    5,078.64x = 16,420,434.74
  5. Step 5: Solve for x
    x = 16,420,434.74/5,078.64
  6. Step 6: Final answer
    x = 3,233.23

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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.