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Finding the Fourth Proportional to 4,741.98, 6,544.02 and 2,753.64

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Solution

The fourth proportional to 4,741.98, 6,544.02 and 2,753.64 is: 3,800.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.98 : 6,544.02 = 2,753.64 : x
  2. Step 2: Convert to fraction form
    4,741.98/6,544.02 = 2,753.64/x
  3. Step 3: Cross multiply
    4,741.98x = 6,544.02 × 2,753.64
  4. Step 4: Simplify right side
    4,741.98x = 18,019,875.23
  5. Step 5: Solve for x
    x = 18,019,875.23/4,741.98
  6. Step 6: Final answer
    x = 3,800.07

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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.