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Finding the Fourth Proportional to 5,410.40, 8,115.60 and 5,026.40

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Solution

The fourth proportional to 5,410.40, 8,115.60 and 5,026.40 is: 7,539.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.40 : 8,115.60 = 5,026.40 : x
  2. Step 2: Convert to fraction form
    5,410.40/8,115.60 = 5,026.40/x
  3. Step 3: Cross multiply
    5,410.40x = 8,115.60 × 5,026.40
  4. Step 4: Simplify right side
    5,410.40x = 40,792,251.84
  5. Step 5: Solve for x
    x = 40,792,251.84/5,410.40
  6. Step 6: Final answer
    x = 7,539.60

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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.