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Finding the Fourth Proportional to 5,378.96, 8,071.32 and 2,458.64

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Solution

The fourth proportional to 5,378.96, 8,071.32 and 2,458.64 is: 3,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.96 : 8,071.32 = 2,458.64 : x
  2. Step 2: Convert to fraction form
    5,378.96/8,071.32 = 2,458.64/x
  3. Step 3: Cross multiply
    5,378.96x = 8,071.32 × 2,458.64
  4. Step 4: Simplify right side
    5,378.96x = 19,844,470.20
  5. Step 5: Solve for x
    x = 19,844,470.20/5,378.96
  6. Step 6: Final answer
    x = 3,689.28

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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.