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Finding the Fourth Proportional to 4,298, 5,914.50 and 4,155.44

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Solution

The fourth proportional to 4,298, 5,914.50 and 4,155.44 is: 5,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,298 : 5,914.50 = 4,155.44 : x
  2. Step 2: Convert to fraction form
    4,298/5,914.50 = 4,155.44/x
  3. Step 3: Cross multiply
    4,298x = 5,914.50 × 4,155.44
  4. Step 4: Simplify right side
    4,298x = 24,577,349.88
  5. Step 5: Solve for x
    x = 24,577,349.88/4,298
  6. Step 6: Final answer
    x = 5,718.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.