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Finding the Fourth Proportional to 4,741.84, 6,543.42 and 2,752.28

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Solution

The fourth proportional to 4,741.84, 6,543.42 and 2,752.28 is: 3,797.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.84 : 6,543.42 = 2,752.28 : x
  2. Step 2: Convert to fraction form
    4,741.84/6,543.42 = 2,752.28/x
  3. Step 3: Cross multiply
    4,741.84x = 6,543.42 × 2,752.28
  4. Step 4: Simplify right side
    4,741.84x = 18,009,324.00
  5. Step 5: Solve for x
    x = 18,009,324.00/4,741.84
  6. Step 6: Final answer
    x = 3,797.96

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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.